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Finding the Third Proportional to 82,377 and 174,474

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Solution

The third proportional to 82,377 and 174,474 is: 369,534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,377 : 174,474 = 174,474 : x
  2. Step 2: Convert to fraction form
    82,377/174,474 = 174,474/x
  3. Step 3: Cross multiply
    82,377x = 174,474 × 174,474
  4. Step 4: Simplify right side
    82,377x = 30,441,176,676
  5. Step 5: Solve for x
    x = 30,441,176,676/82,377
  6. Step 6: Final answer
    x = 369,534.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.