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Finding the Third Proportional to 185,982 and 402,864

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Solution

The third proportional to 185,982 and 402,864 is: 872,661.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,982 : 402,864 = 402,864 : x
  2. Step 2: Convert to fraction form
    185,982/402,864 = 402,864/x
  3. Step 3: Cross multiply
    185,982x = 402,864 × 402,864
  4. Step 4: Simplify right side
    185,982x = 162,299,402,496
  5. Step 5: Solve for x
    x = 162,299,402,496/185,982
  6. Step 6: Final answer
    x = 872,661.88

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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.