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Finding the Third Proportional to 240.89 and 522.28

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Solution

The third proportional to 240.89 and 522.28 is: 1,132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.89 : 522.28 = 522.28 : x
  2. Step 2: Convert to fraction form
    240.89/522.28 = 522.28/x
  3. Step 3: Cross multiply
    240.89x = 522.28 × 522.28
  4. Step 4: Simplify right side
    240.89x = 272,777.70
  5. Step 5: Solve for x
    x = 272,777.70/240.89
  6. Step 6: Final answer
    x = 1,132.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.