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Finding the Third Proportional to 163,782 and 259,686

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Solution

The third proportional to 163,782 and 259,686 is: 411,747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,782 : 259,686 = 259,686 : x
  2. Step 2: Convert to fraction form
    163,782/259,686 = 259,686/x
  3. Step 3: Cross multiply
    163,782x = 259,686 × 259,686
  4. Step 4: Simplify right side
    163,782x = 67,436,818,596
  5. Step 5: Solve for x
    x = 67,436,818,596/163,782
  6. Step 6: Final answer
    x = 411,747.44

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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.