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Finding the Third Proportional to 162,092 and 252,979

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Solution

The third proportional to 162,092 and 252,979 is: 394,827.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,092 : 252,979 = 252,979 : x
  2. Step 2: Convert to fraction form
    162,092/252,979 = 252,979/x
  3. Step 3: Cross multiply
    162,092x = 252,979 × 252,979
  4. Step 4: Simplify right side
    162,092x = 63,998,374,441
  5. Step 5: Solve for x
    x = 63,998,374,441/162,092
  6. Step 6: Final answer
    x = 394,827.47

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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.