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Finding the Third Proportional to 262,518 and 396,182.25

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Solution

The third proportional to 262,518 and 396,182.25 is: 597,903.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,518 : 396,182.25 = 396,182.25 : x
  2. Step 2: Convert to fraction form
    262,518/396,182.25 = 396,182.25/x
  3. Step 3: Cross multiply
    262,518x = 396,182.25 × 396,182.25
  4. Step 4: Simplify right side
    262,518x = 156,960,375,215.06
  5. Step 5: Solve for x
    x = 156,960,375,215.06/262,518
  6. Step 6: Final answer
    x = 597,903.29

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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.