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Finding the Third Proportional to 148,876 and 223,341

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Solution

The third proportional to 148,876 and 223,341 is: 335,052.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,876 : 223,341 = 223,341 : x
  2. Step 2: Convert to fraction form
    148,876/223,341 = 223,341/x
  3. Step 3: Cross multiply
    148,876x = 223,341 × 223,341
  4. Step 4: Simplify right side
    148,876x = 49,881,202,281
  5. Step 5: Solve for x
    x = 49,881,202,281/148,876
  6. Step 6: Final answer
    x = 335,052.00

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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.