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Finding the Third Proportional to 156,534 and 338,592

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Solution

The third proportional to 156,534 and 338,592 is: 732,393.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,534 : 338,592 = 338,592 : x
  2. Step 2: Convert to fraction form
    156,534/338,592 = 338,592/x
  3. Step 3: Cross multiply
    156,534x = 338,592 × 338,592
  4. Step 4: Simplify right side
    156,534x = 114,644,542,464
  5. Step 5: Solve for x
    x = 114,644,542,464/156,534
  6. Step 6: Final answer
    x = 732,393.87

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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.