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Finding the Third Proportional to 159,908 and 370,234

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Solution

The third proportional to 159,908 and 370,234 is: 857,200.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,908 : 370,234 = 370,234 : x
  2. Step 2: Convert to fraction form
    159,908/370,234 = 370,234/x
  3. Step 3: Cross multiply
    159,908x = 370,234 × 370,234
  4. Step 4: Simplify right side
    159,908x = 137,073,214,756
  5. Step 5: Solve for x
    x = 137,073,214,756/159,908
  6. Step 6: Final answer
    x = 857,200.48

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.