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Finding the Third Proportional to 136.75 and 282.88

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Solution

The third proportional to 136.75 and 282.88 is: 585.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.75 : 282.88 = 282.88 : x
  2. Step 2: Convert to fraction form
    136.75/282.88 = 282.88/x
  3. Step 3: Cross multiply
    136.75x = 282.88 × 282.88
  4. Step 4: Simplify right side
    136.75x = 80,018.27
  5. Step 5: Solve for x
    x = 80,018.27/136.75
  6. Step 6: Final answer
    x = 585.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.