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Finding the Third Proportional to 158,862 and 247,671

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Solution

The third proportional to 158,862 and 247,671 is: 386,127.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,862 : 247,671 = 247,671 : x
  2. Step 2: Convert to fraction form
    158,862/247,671 = 247,671/x
  3. Step 3: Cross multiply
    158,862x = 247,671 × 247,671
  4. Step 4: Simplify right side
    158,862x = 61,340,924,241
  5. Step 5: Solve for x
    x = 61,340,924,241/158,862
  6. Step 6: Final answer
    x = 386,127.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.