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Finding the Third Proportional to 161,763.75 and 351,472.13

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Solution

The third proportional to 161,763.75 and 351,472.13 is: 763,660.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,763.75 : 351,472.13 = 351,472.13 : x
  2. Step 2: Convert to fraction form
    161,763.75/351,472.13 = 351,472.13/x
  3. Step 3: Cross multiply
    161,763.75x = 351,472.13 × 351,472.13
  4. Step 4: Simplify right side
    161,763.75x = 123,532,654,652.02
  5. Step 5: Solve for x
    x = 123,532,654,652.02/161,763.75
  6. Step 6: Final answer
    x = 763,660.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.