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Finding the Third Proportional to 179.40 and 243.47

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Solution

The third proportional to 179.40 and 243.47 is: 330.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.40 : 243.47 = 243.47 : x
  2. Step 2: Convert to fraction form
    179.40/243.47 = 243.47/x
  3. Step 3: Cross multiply
    179.40x = 243.47 × 243.47
  4. Step 4: Simplify right side
    179.40x = 59,279.89
  5. Step 5: Solve for x
    x = 59,279.89/179.40
  6. Step 6: Final answer
    x = 330.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.