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Finding the Third Proportional to 178.59 and 276.47

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Solution

The third proportional to 178.59 and 276.47 is: 427.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.59 : 276.47 = 276.47 : x
  2. Step 2: Convert to fraction form
    178.59/276.47 = 276.47/x
  3. Step 3: Cross multiply
    178.59x = 276.47 × 276.47
  4. Step 4: Simplify right side
    178.59x = 76,434.97
  5. Step 5: Solve for x
    x = 76,434.97/178.59
  6. Step 6: Final answer
    x = 427.98

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.