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Finding the Third Proportional to 115,186.50 and 251,250.75

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Solution

The third proportional to 115,186.50 and 251,250.75 is: 548,041.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,186.50 : 251,250.75 = 251,250.75 : x
  2. Step 2: Convert to fraction form
    115,186.50/251,250.75 = 251,250.75/x
  3. Step 3: Cross multiply
    115,186.50x = 251,250.75 × 251,250.75
  4. Step 4: Simplify right side
    115,186.50x = 63,126,939,375.56
  5. Step 5: Solve for x
    x = 63,126,939,375.56/115,186.50
  6. Step 6: Final answer
    x = 548,041.13

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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.