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Finding the Third Proportional to 240.56 and 566.81

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Solution

The third proportional to 240.56 and 566.81 is: 1,335.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.56 : 566.81 = 566.81 : x
  2. Step 2: Convert to fraction form
    240.56/566.81 = 566.81/x
  3. Step 3: Cross multiply
    240.56x = 566.81 × 566.81
  4. Step 4: Simplify right side
    240.56x = 321,276.41
  5. Step 5: Solve for x
    x = 321,276.41/240.56
  6. Step 6: Final answer
    x = 1,335.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.