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Finding the Third Proportional to 203,049 and 298,687.50

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Solution

The third proportional to 203,049 and 298,687.50 is: 439,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,049 : 298,687.50 = 298,687.50 : x
  2. Step 2: Convert to fraction form
    203,049/298,687.50 = 298,687.50/x
  3. Step 3: Cross multiply
    203,049x = 298,687.50 × 298,687.50
  4. Step 4: Simplify right side
    203,049x = 89,214,222,656.25
  5. Step 5: Solve for x
    x = 89,214,222,656.25/203,049
  6. Step 6: Final answer
    x = 439,372.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.