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Finding the Third Proportional to 148,912 and 223,398

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Solution

The third proportional to 148,912 and 223,398 is: 335,142.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,912 : 223,398 = 223,398 : x
  2. Step 2: Convert to fraction form
    148,912/223,398 = 223,398/x
  3. Step 3: Cross multiply
    148,912x = 223,398 × 223,398
  4. Step 4: Simplify right side
    148,912x = 49,906,666,404
  5. Step 5: Solve for x
    x = 49,906,666,404/148,912
  6. Step 6: Final answer
    x = 335,142.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.