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Finding the Third Proportional to 187.31 and 280.03

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Solution

The third proportional to 187.31 and 280.03 is: 418.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.31 : 280.03 = 280.03 : x
  2. Step 2: Convert to fraction form
    187.31/280.03 = 280.03/x
  3. Step 3: Cross multiply
    187.31x = 280.03 × 280.03
  4. Step 4: Simplify right side
    187.31x = 78,417.50
  5. Step 5: Solve for x
    x = 78,417.50/187.31
  6. Step 6: Final answer
    x = 418.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.