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Finding the Third Proportional to 230,551 and 345,826.50

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Solution

The third proportional to 230,551 and 345,826.50 is: 518,739.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,551 : 345,826.50 = 345,826.50 : x
  2. Step 2: Convert to fraction form
    230,551/345,826.50 = 345,826.50/x
  3. Step 3: Cross multiply
    230,551x = 345,826.50 × 345,826.50
  4. Step 4: Simplify right side
    230,551x = 119,595,968,102.25
  5. Step 5: Solve for x
    x = 119,595,968,102.25/230,551
  6. Step 6: Final answer
    x = 518,739.75

Related Problems

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.