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Finding the Third Proportional to 90.28 and 187.59

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Solution

The third proportional to 90.28 and 187.59 is: 389.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.28 : 187.59 = 187.59 : x
  2. Step 2: Convert to fraction form
    90.28/187.59 = 187.59/x
  3. Step 3: Cross multiply
    90.28x = 187.59 × 187.59
  4. Step 4: Simplify right side
    90.28x = 35,191.42
  5. Step 5: Solve for x
    x = 35,191.42/90.28
  6. Step 6: Final answer
    x = 389.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.