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Finding the Third Proportional to 169.88 and 282.13

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Solution

The third proportional to 169.88 and 282.13 is: 468.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.88 : 282.13 = 282.13 : x
  2. Step 2: Convert to fraction form
    169.88/282.13 = 282.13/x
  3. Step 3: Cross multiply
    169.88x = 282.13 × 282.13
  4. Step 4: Simplify right side
    169.88x = 79,594.52
  5. Step 5: Solve for x
    x = 79,594.52/169.88
  6. Step 6: Final answer
    x = 468.55

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.