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Finding the Third Proportional to 133.91 and 291.53

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Solution

The third proportional to 133.91 and 291.53 is: 634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.91 : 291.53 = 291.53 : x
  2. Step 2: Convert to fraction form
    133.91/291.53 = 291.53/x
  3. Step 3: Cross multiply
    133.91x = 291.53 × 291.53
  4. Step 4: Simplify right side
    133.91x = 84,990.47
  5. Step 5: Solve for x
    x = 84,990.47/133.91
  6. Step 6: Final answer
    x = 634.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.