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Finding the Third Proportional to 151.13 and 354.75

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Solution

The third proportional to 151.13 and 354.75 is: 832.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.13 : 354.75 = 354.75 : x
  2. Step 2: Convert to fraction form
    151.13/354.75 = 354.75/x
  3. Step 3: Cross multiply
    151.13x = 354.75 × 354.75
  4. Step 4: Simplify right side
    151.13x = 125,847.56
  5. Step 5: Solve for x
    x = 125,847.56/151.13
  6. Step 6: Final answer
    x = 832.74

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.