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Finding the Third Proportional to 165,600 and 360,012

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Solution

The third proportional to 165,600 and 360,012 is: 782,660.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,600 : 360,012 = 360,012 : x
  2. Step 2: Convert to fraction form
    165,600/360,012 = 360,012/x
  3. Step 3: Cross multiply
    165,600x = 360,012 × 360,012
  4. Step 4: Simplify right side
    165,600x = 129,608,640,144
  5. Step 5: Solve for x
    x = 129,608,640,144/165,600
  6. Step 6: Final answer
    x = 782,660.87

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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.