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Finding the Third Proportional to 165,626 and 262,371

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Solution

The third proportional to 165,626 and 262,371 is: 415,626.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,626 : 262,371 = 262,371 : x
  2. Step 2: Convert to fraction form
    165,626/262,371 = 262,371/x
  3. Step 3: Cross multiply
    165,626x = 262,371 × 262,371
  4. Step 4: Simplify right side
    165,626x = 68,838,541,641
  5. Step 5: Solve for x
    x = 68,838,541,641/165,626
  6. Step 6: Final answer
    x = 415,626.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.