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Finding the Third Proportional to 178.88 and 366.47

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Solution

The third proportional to 178.88 and 366.47 is: 750.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.88 : 366.47 = 366.47 : x
  2. Step 2: Convert to fraction form
    178.88/366.47 = 366.47/x
  3. Step 3: Cross multiply
    178.88x = 366.47 × 366.47
  4. Step 4: Simplify right side
    178.88x = 134,299.34
  5. Step 5: Solve for x
    x = 134,299.34/178.88
  6. Step 6: Final answer
    x = 750.80

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.