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Finding the Third Proportional to 183,240 and 396,092

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Solution

The third proportional to 183,240 and 396,092 is: 856,193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,240 : 396,092 = 396,092 : x
  2. Step 2: Convert to fraction form
    183,240/396,092 = 396,092/x
  3. Step 3: Cross multiply
    183,240x = 396,092 × 396,092
  4. Step 4: Simplify right side
    183,240x = 156,888,872,464
  5. Step 5: Solve for x
    x = 156,888,872,464/183,240
  6. Step 6: Final answer
    x = 856,193.37

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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.