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Finding the Third Proportional to 183,744 and 400,302

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Solution

The third proportional to 183,744 and 400,302 is: 872,092.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,744 : 400,302 = 400,302 : x
  2. Step 2: Convert to fraction form
    183,744/400,302 = 400,302/x
  3. Step 3: Cross multiply
    183,744x = 400,302 × 400,302
  4. Step 4: Simplify right side
    183,744x = 160,241,691,204
  5. Step 5: Solve for x
    x = 160,241,691,204/183,744
  6. Step 6: Final answer
    x = 872,092.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.