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Finding the Third Proportional to 179.76 and 237.54

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Solution

The third proportional to 179.76 and 237.54 is: 313.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.76 : 237.54 = 237.54 : x
  2. Step 2: Convert to fraction form
    179.76/237.54 = 237.54/x
  3. Step 3: Cross multiply
    179.76x = 237.54 × 237.54
  4. Step 4: Simplify right side
    179.76x = 56,426.20
  5. Step 5: Solve for x
    x = 56,426.20/179.76
  6. Step 6: Final answer
    x = 313.90

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.