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Finding the Third Proportional to 252,651.75 and 381,610.50

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Solution

The third proportional to 252,651.75 and 381,610.50 is: 576,392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,651.75 : 381,610.50 = 381,610.50 : x
  2. Step 2: Convert to fraction form
    252,651.75/381,610.50 = 381,610.50/x
  3. Step 3: Cross multiply
    252,651.75x = 381,610.50 × 381,610.50
  4. Step 4: Simplify right side
    252,651.75x = 145,626,573,710.25
  5. Step 5: Solve for x
    x = 145,626,573,710.25/252,651.75
  6. Step 6: Final answer
    x = 576,392.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.