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Finding the Third Proportional to 165.06 and 359.94

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Solution

The third proportional to 165.06 and 359.94 is: 784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.06 : 359.94 = 359.94 : x
  2. Step 2: Convert to fraction form
    165.06/359.94 = 359.94/x
  3. Step 3: Cross multiply
    165.06x = 359.94 × 359.94
  4. Step 4: Simplify right side
    165.06x = 129,555.00
  5. Step 5: Solve for x
    x = 129,555.00/165.06
  6. Step 6: Final answer
    x = 784.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.