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Finding the Third Proportional to 136,691 and 295,846

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Solution

The third proportional to 136,691 and 295,846 is: 640,311.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,691 : 295,846 = 295,846 : x
  2. Step 2: Convert to fraction form
    136,691/295,846 = 295,846/x
  3. Step 3: Cross multiply
    136,691x = 295,846 × 295,846
  4. Step 4: Simplify right side
    136,691x = 87,524,855,716
  5. Step 5: Solve for x
    x = 87,524,855,716/136,691
  6. Step 6: Final answer
    x = 640,311.77

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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.