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Finding the Third Proportional to 161.16 and 247.22

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Solution

The third proportional to 161.16 and 247.22 is: 379.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.16 : 247.22 = 247.22 : x
  2. Step 2: Convert to fraction form
    161.16/247.22 = 247.22/x
  3. Step 3: Cross multiply
    161.16x = 247.22 × 247.22
  4. Step 4: Simplify right side
    161.16x = 61,117.11
  5. Step 5: Solve for x
    x = 61,117.11/161.16
  6. Step 6: Final answer
    x = 379.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.