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Finding the Third Proportional to 247,522 and 386,067

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Solution

The third proportional to 247,522 and 386,067 is: 602,159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,522 : 386,067 = 386,067 : x
  2. Step 2: Convert to fraction form
    247,522/386,067 = 386,067/x
  3. Step 3: Cross multiply
    247,522x = 386,067 × 386,067
  4. Step 4: Simplify right side
    247,522x = 149,047,728,489
  5. Step 5: Solve for x
    x = 149,047,728,489/247,522
  6. Step 6: Final answer
    x = 602,159.52

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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.