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Finding the Third Proportional to 103,982 and 220,360

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Solution

The third proportional to 103,982 and 220,360 is: 466,989.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,982 : 220,360 = 220,360 : x
  2. Step 2: Convert to fraction form
    103,982/220,360 = 220,360/x
  3. Step 3: Cross multiply
    103,982x = 220,360 × 220,360
  4. Step 4: Simplify right side
    103,982x = 48,558,529,600
  5. Step 5: Solve for x
    x = 48,558,529,600/103,982
  6. Step 6: Final answer
    x = 466,989.76

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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.