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Finding the Third Proportional to 275,202.56 and 387,549.56

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Solution

The third proportional to 275,202.56 and 387,549.56 is: 545,760.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,202.56 : 387,549.56 = 387,549.56 : x
  2. Step 2: Convert to fraction form
    275,202.56/387,549.56 = 387,549.56/x
  3. Step 3: Cross multiply
    275,202.56x = 387,549.56 × 387,549.56
  4. Step 4: Simplify right side
    275,202.56x = 150,194,663,393.94
  5. Step 5: Solve for x
    x = 150,194,663,393.94/275,202.56
  6. Step 6: Final answer
    x = 545,760.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.