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Finding the Third Proportional to 82,403 and 176,471

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Solution

The third proportional to 82,403 and 176,471 is: 377,923.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,403 : 176,471 = 176,471 : x
  2. Step 2: Convert to fraction form
    82,403/176,471 = 176,471/x
  3. Step 3: Cross multiply
    82,403x = 176,471 × 176,471
  4. Step 4: Simplify right side
    82,403x = 31,142,013,841
  5. Step 5: Solve for x
    x = 31,142,013,841/82,403
  6. Step 6: Final answer
    x = 377,923.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.