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Finding the Third Proportional to 176.38 and 269.13

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Solution

The third proportional to 176.38 and 269.13 is: 410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.38 : 269.13 = 269.13 : x
  2. Step 2: Convert to fraction form
    176.38/269.13 = 269.13/x
  3. Step 3: Cross multiply
    176.38x = 269.13 × 269.13
  4. Step 4: Simplify right side
    176.38x = 72,428.27
  5. Step 5: Solve for x
    x = 72,428.27/176.38
  6. Step 6: Final answer
    x = 410.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.