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Finding the Third Proportional to 169,216.50 and 252,974

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Solution

The third proportional to 169,216.50 and 252,974 is: 378,189.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,216.50 : 252,974 = 252,974 : x
  2. Step 2: Convert to fraction form
    169,216.50/252,974 = 252,974/x
  3. Step 3: Cross multiply
    169,216.50x = 252,974 × 252,974
  4. Step 4: Simplify right side
    169,216.50x = 63,995,844,676
  5. Step 5: Solve for x
    x = 63,995,844,676/169,216.50
  6. Step 6: Final answer
    x = 378,189.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.