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Finding the Third Proportional to 177.19 and 269.58

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Solution

The third proportional to 177.19 and 269.58 is: 410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.19 : 269.58 = 269.58 : x
  2. Step 2: Convert to fraction form
    177.19/269.58 = 269.58/x
  3. Step 3: Cross multiply
    177.19x = 269.58 × 269.58
  4. Step 4: Simplify right side
    177.19x = 72,672.37
  5. Step 5: Solve for x
    x = 72,672.37/177.19
  6. Step 6: Final answer
    x = 410.14

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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.