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Finding the Third Proportional to 159.47 and 247.22

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Solution

The third proportional to 159.47 and 247.22 is: 383.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.47 : 247.22 = 247.22 : x
  2. Step 2: Convert to fraction form
    159.47/247.22 = 247.22/x
  3. Step 3: Cross multiply
    159.47x = 247.22 × 247.22
  4. Step 4: Simplify right side
    159.47x = 61,117.11
  5. Step 5: Solve for x
    x = 61,117.11/159.47
  6. Step 6: Final answer
    x = 383.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.