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Finding the Third Proportional to 151,524 and 231,900

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Solution

The third proportional to 151,524 and 231,900 is: 354,911.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,524 : 231,900 = 231,900 : x
  2. Step 2: Convert to fraction form
    151,524/231,900 = 231,900/x
  3. Step 3: Cross multiply
    151,524x = 231,900 × 231,900
  4. Step 4: Simplify right side
    151,524x = 53,777,610,000
  5. Step 5: Solve for x
    x = 53,777,610,000/151,524
  6. Step 6: Final answer
    x = 354,911.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.