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Finding the Third Proportional to 161,864 and 244,982

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Solution

The third proportional to 161,864 and 244,982 is: 370,781.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,864 : 244,982 = 244,982 : x
  2. Step 2: Convert to fraction form
    161,864/244,982 = 244,982/x
  3. Step 3: Cross multiply
    161,864x = 244,982 × 244,982
  4. Step 4: Simplify right side
    161,864x = 60,016,180,324
  5. Step 5: Solve for x
    x = 60,016,180,324/161,864
  6. Step 6: Final answer
    x = 370,781.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.