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Finding the Third Proportional to 157,206.94 and 339,321.38

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Solution

The third proportional to 157,206.94 and 339,321.38 is: 732,404.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,206.94 : 339,321.38 = 339,321.38 : x
  2. Step 2: Convert to fraction form
    157,206.94/339,321.38 = 339,321.38/x
  3. Step 3: Cross multiply
    157,206.94x = 339,321.38 × 339,321.38
  4. Step 4: Simplify right side
    157,206.94x = 115,138,995,531.89
  5. Step 5: Solve for x
    x = 115,138,995,531.89/157,206.94
  6. Step 6: Final answer
    x = 732,404.04

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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.