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Finding the Third Proportional to 156,697.13 and 338,331.75

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Solution

The third proportional to 156,697.13 and 338,331.75 is: 730,507.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,697.13 : 338,331.75 = 338,331.75 : x
  2. Step 2: Convert to fraction form
    156,697.13/338,331.75 = 338,331.75/x
  3. Step 3: Cross multiply
    156,697.13x = 338,331.75 × 338,331.75
  4. Step 4: Simplify right side
    156,697.13x = 114,468,373,058.06
  5. Step 5: Solve for x
    x = 114,468,373,058.06/156,697.13
  6. Step 6: Final answer
    x = 730,507.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.