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Finding the Third Proportional to 103,945 and 220,250

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Solution

The third proportional to 103,945 and 220,250 is: 466,689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,945 : 220,250 = 220,250 : x
  2. Step 2: Convert to fraction form
    103,945/220,250 = 220,250/x
  3. Step 3: Cross multiply
    103,945x = 220,250 × 220,250
  4. Step 4: Simplify right side
    103,945x = 48,510,062,500
  5. Step 5: Solve for x
    x = 48,510,062,500/103,945
  6. Step 6: Final answer
    x = 466,689.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.