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Finding the Third Proportional to 157,814 and 339,688

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Solution

The third proportional to 157,814 and 339,688 is: 731,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,814 : 339,688 = 339,688 : x
  2. Step 2: Convert to fraction form
    157,814/339,688 = 339,688/x
  3. Step 3: Cross multiply
    157,814x = 339,688 × 339,688
  4. Step 4: Simplify right side
    157,814x = 115,387,937,344
  5. Step 5: Solve for x
    x = 115,387,937,344/157,814
  6. Step 6: Final answer
    x = 731,164.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.