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Finding the Third Proportional to 165.80 and 360.70

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Solution

The third proportional to 165.80 and 360.70 is: 784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.80 : 360.70 = 360.70 : x
  2. Step 2: Convert to fraction form
    165.80/360.70 = 360.70/x
  3. Step 3: Cross multiply
    165.80x = 360.70 × 360.70
  4. Step 4: Simplify right side
    165.80x = 130,106.74
  5. Step 5: Solve for x
    x = 130,106.74/165.80
  6. Step 6: Final answer
    x = 784.74

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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.