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Finding the Third Proportional to 184.13 and 247.69

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Solution

The third proportional to 184.13 and 247.69 is: 333.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.13 : 247.69 = 247.69 : x
  2. Step 2: Convert to fraction form
    184.13/247.69 = 247.69/x
  3. Step 3: Cross multiply
    184.13x = 247.69 × 247.69
  4. Step 4: Simplify right side
    184.13x = 61,349.10
  5. Step 5: Solve for x
    x = 61,349.10/184.13
  6. Step 6: Final answer
    x = 333.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.