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Finding the Third Proportional to 178.80 and 282.66

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Solution

The third proportional to 178.80 and 282.66 is: 446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.80 : 282.66 = 282.66 : x
  2. Step 2: Convert to fraction form
    178.80/282.66 = 282.66/x
  3. Step 3: Cross multiply
    178.80x = 282.66 × 282.66
  4. Step 4: Simplify right side
    178.80x = 79,894.56
  5. Step 5: Solve for x
    x = 79,894.56/178.80
  6. Step 6: Final answer
    x = 446.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.