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Finding the Third Proportional to 169.59 and 229.08

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Solution

The third proportional to 169.59 and 229.08 is: 309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.59 : 229.08 = 229.08 : x
  2. Step 2: Convert to fraction form
    169.59/229.08 = 229.08/x
  3. Step 3: Cross multiply
    169.59x = 229.08 × 229.08
  4. Step 4: Simplify right side
    169.59x = 52,476.79
  5. Step 5: Solve for x
    x = 52,476.79/169.59
  6. Step 6: Final answer
    x = 309.43

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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.