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Finding the Third Proportional to 151,820 and 231,751

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Solution

The third proportional to 151,820 and 231,751 is: 353,764.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,820 : 231,751 = 231,751 : x
  2. Step 2: Convert to fraction form
    151,820/231,751 = 231,751/x
  3. Step 3: Cross multiply
    151,820x = 231,751 × 231,751
  4. Step 4: Simplify right side
    151,820x = 53,708,526,001
  5. Step 5: Solve for x
    x = 53,708,526,001/151,820
  6. Step 6: Final answer
    x = 353,764.50

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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.