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Finding the Third Proportional to 115,001.25 and 251,452.50

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Solution

The third proportional to 115,001.25 and 251,452.50 is: 549,805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,001.25 : 251,452.50 = 251,452.50 : x
  2. Step 2: Convert to fraction form
    115,001.25/251,452.50 = 251,452.50/x
  3. Step 3: Cross multiply
    115,001.25x = 251,452.50 × 251,452.50
  4. Step 4: Simplify right side
    115,001.25x = 63,228,359,756.25
  5. Step 5: Solve for x
    x = 63,228,359,756.25/115,001.25
  6. Step 6: Final answer
    x = 549,805.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.