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Finding the Third Proportional to 251,006.50 and 382,392.75

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Solution

The third proportional to 251,006.50 and 382,392.75 is: 582,551.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,006.50 : 382,392.75 = 382,392.75 : x
  2. Step 2: Convert to fraction form
    251,006.50/382,392.75 = 382,392.75/x
  3. Step 3: Cross multiply
    251,006.50x = 382,392.75 × 382,392.75
  4. Step 4: Simplify right side
    251,006.50x = 146,224,215,252.56
  5. Step 5: Solve for x
    x = 146,224,215,252.56/251,006.50
  6. Step 6: Final answer
    x = 582,551.51

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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.