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Finding the Third Proportional to 148,847 and 223,606

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Solution

The third proportional to 148,847 and 223,606 is: 335,913.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,847 : 223,606 = 223,606 : x
  2. Step 2: Convert to fraction form
    148,847/223,606 = 223,606/x
  3. Step 3: Cross multiply
    148,847x = 223,606 × 223,606
  4. Step 4: Simplify right side
    148,847x = 49,999,643,236
  5. Step 5: Solve for x
    x = 49,999,643,236/148,847
  6. Step 6: Final answer
    x = 335,913.01

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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.