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Finding the Third Proportional to 165,251 and 340,282

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Solution

The third proportional to 165,251 and 340,282 is: 700,702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,251 : 340,282 = 340,282 : x
  2. Step 2: Convert to fraction form
    165,251/340,282 = 340,282/x
  3. Step 3: Cross multiply
    165,251x = 340,282 × 340,282
  4. Step 4: Simplify right side
    165,251x = 115,791,839,524
  5. Step 5: Solve for x
    x = 115,791,839,524/165,251
  6. Step 6: Final answer
    x = 700,702.81

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.