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Finding the Third Proportional to 82,436 and 176,534

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Solution

The third proportional to 82,436 and 176,534 is: 378,041.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,436 : 176,534 = 176,534 : x
  2. Step 2: Convert to fraction form
    82,436/176,534 = 176,534/x
  3. Step 3: Cross multiply
    82,436x = 176,534 × 176,534
  4. Step 4: Simplify right side
    82,436x = 31,164,253,156
  5. Step 5: Solve for x
    x = 31,164,253,156/82,436
  6. Step 6: Final answer
    x = 378,041.79

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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.