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Finding the Third Proportional to 162,986 and 259,329

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Solution

The third proportional to 162,986 and 259,329 is: 412,621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,986 : 259,329 = 259,329 : x
  2. Step 2: Convert to fraction form
    162,986/259,329 = 259,329/x
  3. Step 3: Cross multiply
    162,986x = 259,329 × 259,329
  4. Step 4: Simplify right side
    162,986x = 67,251,530,241
  5. Step 5: Solve for x
    x = 67,251,530,241/162,986
  6. Step 6: Final answer
    x = 412,621.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.