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Finding the Third Proportional to 179.53 and 387.72

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Solution

The third proportional to 179.53 and 387.72 is: 837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.53 : 387.72 = 387.72 : x
  2. Step 2: Convert to fraction form
    179.53/387.72 = 387.72/x
  3. Step 3: Cross multiply
    179.53x = 387.72 × 387.72
  4. Step 4: Simplify right side
    179.53x = 150,325.83
  5. Step 5: Solve for x
    x = 150,325.83/179.53
  6. Step 6: Final answer
    x = 837.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.