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Finding the Third Proportional to 177.38 and 269.63

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Solution

The third proportional to 177.38 and 269.63 is: 409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.38 : 269.63 = 269.63 : x
  2. Step 2: Convert to fraction form
    177.38/269.63 = 269.63/x
  3. Step 3: Cross multiply
    177.38x = 269.63 × 269.63
  4. Step 4: Simplify right side
    177.38x = 72,697.64
  5. Step 5: Solve for x
    x = 72,697.64/177.38
  6. Step 6: Final answer
    x = 409.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.