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Finding the Third Proportional to 150.56 and 279.19

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Solution

The third proportional to 150.56 and 279.19 is: 517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.56 : 279.19 = 279.19 : x
  2. Step 2: Convert to fraction form
    150.56/279.19 = 279.19/x
  3. Step 3: Cross multiply
    150.56x = 279.19 × 279.19
  4. Step 4: Simplify right side
    150.56x = 77,945.66
  5. Step 5: Solve for x
    x = 77,945.66/150.56
  6. Step 6: Final answer
    x = 517.70

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.