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Finding the Third Proportional to 337.22 and 455.20

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Solution

The third proportional to 337.22 and 455.20 is: 614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.22 : 455.20 = 455.20 : x
  2. Step 2: Convert to fraction form
    337.22/455.20 = 455.20/x
  3. Step 3: Cross multiply
    337.22x = 455.20 × 455.20
  4. Step 4: Simplify right side
    337.22x = 207,209.89
  5. Step 5: Solve for x
    x = 207,209.89/337.22
  6. Step 6: Final answer
    x = 614.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.