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Finding the Third Proportional to 83,540 and 176,395

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Solution

The third proportional to 83,540 and 176,395 is: 372,458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,540 : 176,395 = 176,395 : x
  2. Step 2: Convert to fraction form
    83,540/176,395 = 176,395/x
  3. Step 3: Cross multiply
    83,540x = 176,395 × 176,395
  4. Step 4: Simplify right side
    83,540x = 31,115,196,025
  5. Step 5: Solve for x
    x = 31,115,196,025/83,540
  6. Step 6: Final answer
    x = 372,458.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.