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Finding the Third Proportional to 177.38 and 411.38

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Solution

The third proportional to 177.38 and 411.38 is: 954.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.38 : 411.38 = 411.38 : x
  2. Step 2: Convert to fraction form
    177.38/411.38 = 411.38/x
  3. Step 3: Cross multiply
    177.38x = 411.38 × 411.38
  4. Step 4: Simplify right side
    177.38x = 169,229.39
  5. Step 5: Solve for x
    x = 169,229.39/177.38
  6. Step 6: Final answer
    x = 954.08

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.