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Finding the Third Proportional to 118,460 and 169,398

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Solution

The third proportional to 118,460 and 169,398 is: 242,239.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,460 : 169,398 = 169,398 : x
  2. Step 2: Convert to fraction form
    118,460/169,398 = 169,398/x
  3. Step 3: Cross multiply
    118,460x = 169,398 × 169,398
  4. Step 4: Simplify right side
    118,460x = 28,695,682,404
  5. Step 5: Solve for x
    x = 28,695,682,404/118,460
  6. Step 6: Final answer
    x = 242,239.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.