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Finding the Third Proportional to 157,126 and 339,353

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Solution

The third proportional to 157,126 and 339,353 is: 732,917.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,126 : 339,353 = 339,353 : x
  2. Step 2: Convert to fraction form
    157,126/339,353 = 339,353/x
  3. Step 3: Cross multiply
    157,126x = 339,353 × 339,353
  4. Step 4: Simplify right side
    157,126x = 115,160,458,609
  5. Step 5: Solve for x
    x = 115,160,458,609/157,126
  6. Step 6: Final answer
    x = 732,917.90

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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.