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Finding the Third Proportional to 115,182 and 251,241.75

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Solution

The third proportional to 115,182 and 251,241.75 is: 548,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,182 : 251,241.75 = 251,241.75 : x
  2. Step 2: Convert to fraction form
    115,182/251,241.75 = 251,241.75/x
  3. Step 3: Cross multiply
    115,182x = 251,241.75 × 251,241.75
  4. Step 4: Simplify right side
    115,182x = 63,122,416,943.06
  5. Step 5: Solve for x
    x = 63,122,416,943.06/115,182
  6. Step 6: Final answer
    x = 548,023.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.