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Finding the Third Proportional to 84,747 and 182,466

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Solution

The third proportional to 84,747 and 182,466 is: 392,861.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,747 : 182,466 = 182,466 : x
  2. Step 2: Convert to fraction form
    84,747/182,466 = 182,466/x
  3. Step 3: Cross multiply
    84,747x = 182,466 × 182,466
  4. Step 4: Simplify right side
    84,747x = 33,293,841,156
  5. Step 5: Solve for x
    x = 33,293,841,156/84,747
  6. Step 6: Final answer
    x = 392,861.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.