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Finding the Third Proportional to 185.20 and 288.14

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Solution

The third proportional to 185.20 and 288.14 is: 448.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.20 : 288.14 = 288.14 : x
  2. Step 2: Convert to fraction form
    185.20/288.14 = 288.14/x
  3. Step 3: Cross multiply
    185.20x = 288.14 × 288.14
  4. Step 4: Simplify right side
    185.20x = 83,025.02
  5. Step 5: Solve for x
    x = 83,025.02/185.20
  6. Step 6: Final answer
    x = 448.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.