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Finding the Third Proportional to 171,626 and 265,742

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Solution

The third proportional to 171,626 and 265,742 is: 411,469.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,626 : 265,742 = 265,742 : x
  2. Step 2: Convert to fraction form
    171,626/265,742 = 265,742/x
  3. Step 3: Cross multiply
    171,626x = 265,742 × 265,742
  4. Step 4: Simplify right side
    171,626x = 70,618,810,564
  5. Step 5: Solve for x
    x = 70,618,810,564/171,626
  6. Step 6: Final answer
    x = 411,469.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.