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Finding the Third Proportional to 223,381.13 and 337,132.13

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Solution

The third proportional to 223,381.13 and 337,132.13 is: 508,807.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,381.13 : 337,132.13 = 337,132.13 : x
  2. Step 2: Convert to fraction form
    223,381.13/337,132.13 = 337,132.13/x
  3. Step 3: Cross multiply
    223,381.13x = 337,132.13 × 337,132.13
  4. Step 4: Simplify right side
    223,381.13x = 113,658,069,707.02
  5. Step 5: Solve for x
    x = 113,658,069,707.02/223,381.13
  6. Step 6: Final answer
    x = 508,807.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.