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Finding the Third Proportional to 170,826 and 260,371

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Solution

The third proportional to 170,826 and 260,371 is: 396,854.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,826 : 260,371 = 260,371 : x
  2. Step 2: Convert to fraction form
    170,826/260,371 = 260,371/x
  3. Step 3: Cross multiply
    170,826x = 260,371 × 260,371
  4. Step 4: Simplify right side
    170,826x = 67,793,057,641
  5. Step 5: Solve for x
    x = 67,793,057,641/170,826
  6. Step 6: Final answer
    x = 396,854.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.