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Finding the Third Proportional to 240.91 and 522.33

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Solution

The third proportional to 240.91 and 522.33 is: 1,132.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.91 : 522.33 = 522.33 : x
  2. Step 2: Convert to fraction form
    240.91/522.33 = 522.33/x
  3. Step 3: Cross multiply
    240.91x = 522.33 × 522.33
  4. Step 4: Simplify right side
    240.91x = 272,826.67
  5. Step 5: Solve for x
    x = 272,826.67/240.91
  6. Step 6: Final answer
    x = 1,132.46

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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.