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Finding the Third Proportional to 230,822.50 and 345,311.50

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Solution

The third proportional to 230,822.50 and 345,311.50 is: 516,587.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,822.50 : 345,311.50 = 345,311.50 : x
  2. Step 2: Convert to fraction form
    230,822.50/345,311.50 = 345,311.50/x
  3. Step 3: Cross multiply
    230,822.50x = 345,311.50 × 345,311.50
  4. Step 4: Simplify right side
    230,822.50x = 119,240,032,032.25
  5. Step 5: Solve for x
    x = 119,240,032,032.25/230,822.50
  6. Step 6: Final answer
    x = 516,587.56

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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.