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Finding the Third Proportional to 119.58 and 184.71

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Solution

The third proportional to 119.58 and 184.71 is: 285.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.58 : 184.71 = 184.71 : x
  2. Step 2: Convert to fraction form
    119.58/184.71 = 184.71/x
  3. Step 3: Cross multiply
    119.58x = 184.71 × 184.71
  4. Step 4: Simplify right side
    119.58x = 34,117.17
  5. Step 5: Solve for x
    x = 34,117.17/119.58
  6. Step 6: Final answer
    x = 285.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.