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Finding the Third Proportional to 165,880 and 250,195

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Solution

The third proportional to 165,880 and 250,195 is: 377,366.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,880 : 250,195 = 250,195 : x
  2. Step 2: Convert to fraction form
    165,880/250,195 = 250,195/x
  3. Step 3: Cross multiply
    165,880x = 250,195 × 250,195
  4. Step 4: Simplify right side
    165,880x = 62,597,538,025
  5. Step 5: Solve for x
    x = 62,597,538,025/165,880
  6. Step 6: Final answer
    x = 377,366.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.