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Finding the Third Proportional to 176.13 and 286.61

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Solution

The third proportional to 176.13 and 286.61 is: 466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.13 : 286.61 = 286.61 : x
  2. Step 2: Convert to fraction form
    176.13/286.61 = 286.61/x
  3. Step 3: Cross multiply
    176.13x = 286.61 × 286.61
  4. Step 4: Simplify right side
    176.13x = 82,146.05
  5. Step 5: Solve for x
    x = 82,146.05/176.13
  6. Step 6: Final answer
    x = 466.39

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.