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Finding the Third Proportional to 240.03 and 517.94

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Solution

The third proportional to 240.03 and 517.94 is: 1,117.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.03 : 517.94 = 517.94 : x
  2. Step 2: Convert to fraction form
    240.03/517.94 = 517.94/x
  3. Step 3: Cross multiply
    240.03x = 517.94 × 517.94
  4. Step 4: Simplify right side
    240.03x = 268,259.25
  5. Step 5: Solve for x
    x = 268,259.25/240.03
  6. Step 6: Final answer
    x = 1,117.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.