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Finding the Third Proportional to 84,681 and 182,862

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Solution

The third proportional to 84,681 and 182,862 is: 394,876.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,681 : 182,862 = 182,862 : x
  2. Step 2: Convert to fraction form
    84,681/182,862 = 182,862/x
  3. Step 3: Cross multiply
    84,681x = 182,862 × 182,862
  4. Step 4: Simplify right side
    84,681x = 33,438,511,044
  5. Step 5: Solve for x
    x = 33,438,511,044/84,681
  6. Step 6: Final answer
    x = 394,876.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.