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Finding the Third Proportional to 166.50 and 359.72

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Solution

The third proportional to 166.50 and 359.72 is: 777.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.50 : 359.72 = 359.72 : x
  2. Step 2: Convert to fraction form
    166.50/359.72 = 359.72/x
  3. Step 3: Cross multiply
    166.50x = 359.72 × 359.72
  4. Step 4: Simplify right side
    166.50x = 129,397.58
  5. Step 5: Solve for x
    x = 129,397.58/166.50
  6. Step 6: Final answer
    x = 777.16

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Why These Related Problems?

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