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Finding the Third Proportional to 337.13 and 453.06

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Solution

The third proportional to 337.13 and 453.06 is: 608.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.13 : 453.06 = 453.06 : x
  2. Step 2: Convert to fraction form
    337.13/453.06 = 453.06/x
  3. Step 3: Cross multiply
    337.13x = 453.06 × 453.06
  4. Step 4: Simplify right side
    337.13x = 205,265.63
  5. Step 5: Solve for x
    x = 205,265.63/337.13
  6. Step 6: Final answer
    x = 608.87

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.