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Finding the Third Proportional to 157,377 and 339,882

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Solution

The third proportional to 157,377 and 339,882 is: 734,032.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,377 : 339,882 = 339,882 : x
  2. Step 2: Convert to fraction form
    157,377/339,882 = 339,882/x
  3. Step 3: Cross multiply
    157,377x = 339,882 × 339,882
  4. Step 4: Simplify right side
    157,377x = 115,519,773,924
  5. Step 5: Solve for x
    x = 115,519,773,924/157,377
  6. Step 6: Final answer
    x = 734,032.13

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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.