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Finding the Third Proportional to 157,680 and 344,592

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Solution

The third proportional to 157,680 and 344,592 is: 753,067.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,680 : 344,592 = 344,592 : x
  2. Step 2: Convert to fraction form
    157,680/344,592 = 344,592/x
  3. Step 3: Cross multiply
    157,680x = 344,592 × 344,592
  4. Step 4: Simplify right side
    157,680x = 118,743,646,464
  5. Step 5: Solve for x
    x = 118,743,646,464/157,680
  6. Step 6: Final answer
    x = 753,067.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.