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Finding the Third Proportional to 185,918 and 402,748

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Solution

The third proportional to 185,918 and 402,748 is: 872,459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,918 : 402,748 = 402,748 : x
  2. Step 2: Convert to fraction form
    185,918/402,748 = 402,748/x
  3. Step 3: Cross multiply
    185,918x = 402,748 × 402,748
  4. Step 4: Simplify right side
    185,918x = 162,205,951,504
  5. Step 5: Solve for x
    x = 162,205,951,504/185,918
  6. Step 6: Final answer
    x = 872,459.64

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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.