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Finding the Third Proportional to 160,092 and 231,871

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Solution

The third proportional to 160,092 and 231,871 is: 335,832.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,092 : 231,871 = 231,871 : x
  2. Step 2: Convert to fraction form
    160,092/231,871 = 231,871/x
  3. Step 3: Cross multiply
    160,092x = 231,871 × 231,871
  4. Step 4: Simplify right side
    160,092x = 53,764,160,641
  5. Step 5: Solve for x
    x = 53,764,160,641/160,092
  6. Step 6: Final answer
    x = 335,832.90

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.