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Finding the Third Proportional to 151,680 and 233,847

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Solution

The third proportional to 151,680 and 233,847 is: 360,524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,680 : 233,847 = 233,847 : x
  2. Step 2: Convert to fraction form
    151,680/233,847 = 233,847/x
  3. Step 3: Cross multiply
    151,680x = 233,847 × 233,847
  4. Step 4: Simplify right side
    151,680x = 54,684,419,409
  5. Step 5: Solve for x
    x = 54,684,419,409/151,680
  6. Step 6: Final answer
    x = 360,524.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.