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Finding the Third Proportional to 69,195 and 150,486

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Solution

The third proportional to 69,195 and 150,486 is: 327,278.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,195 : 150,486 = 150,486 : x
  2. Step 2: Convert to fraction form
    69,195/150,486 = 150,486/x
  3. Step 3: Cross multiply
    69,195x = 150,486 × 150,486
  4. Step 4: Simplify right side
    69,195x = 22,646,036,196
  5. Step 5: Solve for x
    x = 22,646,036,196/69,195
  6. Step 6: Final answer
    x = 327,278.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.