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Finding the Third Proportional to 84,491 and 178,486

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Solution

The third proportional to 84,491 and 178,486 is: 377,049.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,491 : 178,486 = 178,486 : x
  2. Step 2: Convert to fraction form
    84,491/178,486 = 178,486/x
  3. Step 3: Cross multiply
    84,491x = 178,486 × 178,486
  4. Step 4: Simplify right side
    84,491x = 31,857,252,196
  5. Step 5: Solve for x
    x = 31,857,252,196/84,491
  6. Step 6: Final answer
    x = 377,049.06

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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.