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Finding the Third Proportional to 251,013.75 and 382,404.25

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Solution

The third proportional to 251,013.75 and 382,404.25 is: 582,569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,013.75 : 382,404.25 = 382,404.25 : x
  2. Step 2: Convert to fraction form
    251,013.75/382,404.25 = 382,404.25/x
  3. Step 3: Cross multiply
    251,013.75x = 382,404.25 × 382,404.25
  4. Step 4: Simplify right side
    251,013.75x = 146,233,010,418.06
  5. Step 5: Solve for x
    x = 146,233,010,418.06/251,013.75
  6. Step 6: Final answer
    x = 582,569.72

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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.