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Finding the Third Proportional to 166.59 and 360.94

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Solution

The third proportional to 166.59 and 360.94 is: 782.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.59 : 360.94 = 360.94 : x
  2. Step 2: Convert to fraction form
    166.59/360.94 = 360.94/x
  3. Step 3: Cross multiply
    166.59x = 360.94 × 360.94
  4. Step 4: Simplify right side
    166.59x = 130,277.99
  5. Step 5: Solve for x
    x = 130,277.99/166.59
  6. Step 6: Final answer
    x = 782.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.