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Finding the Third Proportional to 159,999 and 370,408.50

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Solution

The third proportional to 159,999 and 370,408.50 is: 857,520.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,999 : 370,408.50 = 370,408.50 : x
  2. Step 2: Convert to fraction form
    159,999/370,408.50 = 370,408.50/x
  3. Step 3: Cross multiply
    159,999x = 370,408.50 × 370,408.50
  4. Step 4: Simplify right side
    159,999x = 137,202,456,872.25
  5. Step 5: Solve for x
    x = 137,202,456,872.25/159,999
  6. Step 6: Final answer
    x = 857,520.71

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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.