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Finding the Third Proportional to 159.47 and 224.02

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Solution

The third proportional to 159.47 and 224.02 is: 314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.47 : 224.02 = 224.02 : x
  2. Step 2: Convert to fraction form
    159.47/224.02 = 224.02/x
  3. Step 3: Cross multiply
    159.47x = 224.02 × 224.02
  4. Step 4: Simplify right side
    159.47x = 50,183.00
  5. Step 5: Solve for x
    x = 50,183.00/159.47
  6. Step 6: Final answer
    x = 314.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.