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Finding the Third Proportional to 165,325 and 360,175

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Solution

The third proportional to 165,325 and 360,175 is: 784,672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,325 : 360,175 = 360,175 : x
  2. Step 2: Convert to fraction form
    165,325/360,175 = 360,175/x
  3. Step 3: Cross multiply
    165,325x = 360,175 × 360,175
  4. Step 4: Simplify right side
    165,325x = 129,726,030,625
  5. Step 5: Solve for x
    x = 129,726,030,625/165,325
  6. Step 6: Final answer
    x = 784,672.80

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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.