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Finding the Third Proportional to 183,005 and 396,557

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Solution

The third proportional to 183,005 and 396,557 is: 859,306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,005 : 396,557 = 396,557 : x
  2. Step 2: Convert to fraction form
    183,005/396,557 = 396,557/x
  3. Step 3: Cross multiply
    183,005x = 396,557 × 396,557
  4. Step 4: Simplify right side
    183,005x = 157,257,454,249
  5. Step 5: Solve for x
    x = 157,257,454,249/183,005
  6. Step 6: Final answer
    x = 859,306.87

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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.