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Finding the Third Proportional to 251,147.25 and 382,617

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Solution

The third proportional to 251,147.25 and 382,617 is: 582,908.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,147.25 : 382,617 = 382,617 : x
  2. Step 2: Convert to fraction form
    251,147.25/382,617 = 382,617/x
  3. Step 3: Cross multiply
    251,147.25x = 382,617 × 382,617
  4. Step 4: Simplify right side
    251,147.25x = 146,395,768,689
  5. Step 5: Solve for x
    x = 146,395,768,689/251,147.25
  6. Step 6: Final answer
    x = 582,908.11

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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.