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Finding the Third Proportional to 83,413 and 181,377

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Solution

The third proportional to 83,413 and 181,377 is: 394,394.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,413 : 181,377 = 181,377 : x
  2. Step 2: Convert to fraction form
    83,413/181,377 = 181,377/x
  3. Step 3: Cross multiply
    83,413x = 181,377 × 181,377
  4. Step 4: Simplify right side
    83,413x = 32,897,616,129
  5. Step 5: Solve for x
    x = 32,897,616,129/83,413
  6. Step 6: Final answer
    x = 394,394.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.