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Finding the Third Proportional to 184.13 and 397.59

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Solution

The third proportional to 184.13 and 397.59 is: 858.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.13 : 397.59 = 397.59 : x
  2. Step 2: Convert to fraction form
    184.13/397.59 = 397.59/x
  3. Step 3: Cross multiply
    184.13x = 397.59 × 397.59
  4. Step 4: Simplify right side
    184.13x = 158,080.79
  5. Step 5: Solve for x
    x = 158,080.79/184.13
  6. Step 6: Final answer
    x = 858.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.