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Finding the Third Proportional to 183,156 and 380,343

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Solution

The third proportional to 183,156 and 380,343 is: 789,822.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,156 : 380,343 = 380,343 : x
  2. Step 2: Convert to fraction form
    183,156/380,343 = 380,343/x
  3. Step 3: Cross multiply
    183,156x = 380,343 × 380,343
  4. Step 4: Simplify right side
    183,156x = 144,660,797,649
  5. Step 5: Solve for x
    x = 144,660,797,649/183,156
  6. Step 6: Final answer
    x = 789,822.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.