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Finding the Third Proportional to 115,774.31 and 250,001.44

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Solution

The third proportional to 115,774.31 and 250,001.44 is: 539,849.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,774.31 : 250,001.44 = 250,001.44 : x
  2. Step 2: Convert to fraction form
    115,774.31/250,001.44 = 250,001.44/x
  3. Step 3: Cross multiply
    115,774.31x = 250,001.44 × 250,001.44
  4. Step 4: Simplify right side
    115,774.31x = 62,500,718,752.07
  5. Step 5: Solve for x
    x = 62,500,718,752.07/115,774.31
  6. Step 6: Final answer
    x = 539,849.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.