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Finding the Third Proportional to 202,243.50 and 272,261.25

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Solution

The third proportional to 202,243.50 and 272,261.25 is: 366,519.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,243.50 : 272,261.25 = 272,261.25 : x
  2. Step 2: Convert to fraction form
    202,243.50/272,261.25 = 272,261.25/x
  3. Step 3: Cross multiply
    202,243.50x = 272,261.25 × 272,261.25
  4. Step 4: Simplify right side
    202,243.50x = 74,126,188,251.56
  5. Step 5: Solve for x
    x = 74,126,188,251.56/202,243.50
  6. Step 6: Final answer
    x = 366,519.51

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.