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Finding the Third Proportional to 184.97 and 340.78

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Solution

The third proportional to 184.97 and 340.78 is: 627.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.97 : 340.78 = 340.78 : x
  2. Step 2: Convert to fraction form
    184.97/340.78 = 340.78/x
  3. Step 3: Cross multiply
    184.97x = 340.78 × 340.78
  4. Step 4: Simplify right side
    184.97x = 116,131.86
  5. Step 5: Solve for x
    x = 116,131.86/184.97
  6. Step 6: Final answer
    x = 627.85

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.