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Finding the Third Proportional to 165,323 and 360,171

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Solution

The third proportional to 165,323 and 360,171 is: 784,664.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,323 : 360,171 = 360,171 : x
  2. Step 2: Convert to fraction form
    165,323/360,171 = 360,171/x
  3. Step 3: Cross multiply
    165,323x = 360,171 × 360,171
  4. Step 4: Simplify right side
    165,323x = 129,723,149,241
  5. Step 5: Solve for x
    x = 129,723,149,241/165,323
  6. Step 6: Final answer
    x = 784,664.86

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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.