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Finding the Third Proportional to 163,122 and 345,826.50

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Solution

The third proportional to 163,122 and 345,826.50 is: 733,168.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,122 : 345,826.50 = 345,826.50 : x
  2. Step 2: Convert to fraction form
    163,122/345,826.50 = 345,826.50/x
  3. Step 3: Cross multiply
    163,122x = 345,826.50 × 345,826.50
  4. Step 4: Simplify right side
    163,122x = 119,595,968,102.25
  5. Step 5: Solve for x
    x = 119,595,968,102.25/163,122
  6. Step 6: Final answer
    x = 733,168.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.