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Finding the Third Proportional to 209,652.50 and 279,325

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Solution

The third proportional to 209,652.50 and 279,325 is: 372,151.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,652.50 : 279,325 = 279,325 : x
  2. Step 2: Convert to fraction form
    209,652.50/279,325 = 279,325/x
  3. Step 3: Cross multiply
    209,652.50x = 279,325 × 279,325
  4. Step 4: Simplify right side
    209,652.50x = 78,022,455,625
  5. Step 5: Solve for x
    x = 78,022,455,625/209,652.50
  6. Step 6: Final answer
    x = 372,151.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.