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Finding the Third Proportional to 240.15 and 566.68

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Solution

The third proportional to 240.15 and 566.68 is: 1,337.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.15 : 566.68 = 566.68 : x
  2. Step 2: Convert to fraction form
    240.15/566.68 = 566.68/x
  3. Step 3: Cross multiply
    240.15x = 566.68 × 566.68
  4. Step 4: Simplify right side
    240.15x = 321,130.30
  5. Step 5: Solve for x
    x = 321,130.30/240.15
  6. Step 6: Final answer
    x = 1,337.19

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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.