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Finding the Third Proportional to 240.05 and 560.04

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Solution

The third proportional to 240.05 and 560.04 is: 1,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.05 : 560.04 = 560.04 : x
  2. Step 2: Convert to fraction form
    240.05/560.04 = 560.04/x
  3. Step 3: Cross multiply
    240.05x = 560.04 × 560.04
  4. Step 4: Simplify right side
    240.05x = 313,643.75
  5. Step 5: Solve for x
    x = 313,643.75/240.05
  6. Step 6: Final answer
    x = 1,306.59

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.