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Finding the Third Proportional to 157,124 and 339,349

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Solution

The third proportional to 157,124 and 339,349 is: 732,909.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,124 : 339,349 = 339,349 : x
  2. Step 2: Convert to fraction form
    157,124/339,349 = 339,349/x
  3. Step 3: Cross multiply
    157,124x = 339,349 × 339,349
  4. Step 4: Simplify right side
    157,124x = 115,157,743,801
  5. Step 5: Solve for x
    x = 115,157,743,801/157,124
  6. Step 6: Final answer
    x = 732,909.96

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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.