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Finding the Third Proportional to 275.88 and 560.75

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Solution

The third proportional to 275.88 and 560.75 is: 1,139.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.88 : 560.75 = 560.75 : x
  2. Step 2: Convert to fraction form
    275.88/560.75 = 560.75/x
  3. Step 3: Cross multiply
    275.88x = 560.75 × 560.75
  4. Step 4: Simplify right side
    275.88x = 314,440.56
  5. Step 5: Solve for x
    x = 314,440.56/275.88
  6. Step 6: Final answer
    x = 1,139.79

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.