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Finding the Third Proportional to 134.91 and 295.17

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Solution

The third proportional to 134.91 and 295.17 is: 645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.91 : 295.17 = 295.17 : x
  2. Step 2: Convert to fraction form
    134.91/295.17 = 295.17/x
  3. Step 3: Cross multiply
    134.91x = 295.17 × 295.17
  4. Step 4: Simplify right side
    134.91x = 87,126.44
  5. Step 5: Solve for x
    x = 87,126.44/134.91
  6. Step 6: Final answer
    x = 645.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.