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Finding the Third Proportional to 148,845 and 223,603

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Solution

The third proportional to 148,845 and 223,603 is: 335,908.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,845 : 223,603 = 223,603 : x
  2. Step 2: Convert to fraction form
    148,845/223,603 = 223,603/x
  3. Step 3: Cross multiply
    148,845x = 223,603 × 223,603
  4. Step 4: Simplify right side
    148,845x = 49,998,301,609
  5. Step 5: Solve for x
    x = 49,998,301,609/148,845
  6. Step 6: Final answer
    x = 335,908.51

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Why These Related Problems?

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