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Finding the Third Proportional to 151,860 and 231,536

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Solution

The third proportional to 151,860 and 231,536 is: 353,015.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,860 : 231,536 = 231,536 : x
  2. Step 2: Convert to fraction form
    151,860/231,536 = 231,536/x
  3. Step 3: Cross multiply
    151,860x = 231,536 × 231,536
  4. Step 4: Simplify right side
    151,860x = 53,608,919,296
  5. Step 5: Solve for x
    x = 53,608,919,296/151,860
  6. Step 6: Final answer
    x = 353,015.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.