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Finding the Third Proportional to 136,694 and 295,849

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Solution

The third proportional to 136,694 and 295,849 is: 640,310.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,694 : 295,849 = 295,849 : x
  2. Step 2: Convert to fraction form
    136,694/295,849 = 295,849/x
  3. Step 3: Cross multiply
    136,694x = 295,849 × 295,849
  4. Step 4: Simplify right side
    136,694x = 87,526,630,801
  5. Step 5: Solve for x
    x = 87,526,630,801/136,694
  6. Step 6: Final answer
    x = 640,310.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.