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Finding the Third Proportional to 192,005 and 418,948

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Solution

The third proportional to 192,005 and 418,948 is: 914,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,005 : 418,948 = 418,948 : x
  2. Step 2: Convert to fraction form
    192,005/418,948 = 418,948/x
  3. Step 3: Cross multiply
    192,005x = 418,948 × 418,948
  4. Step 4: Simplify right side
    192,005x = 175,517,426,704
  5. Step 5: Solve for x
    x = 175,517,426,704/192,005
  6. Step 6: Final answer
    x = 914,129.46

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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.