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Finding the Third Proportional to 104,297 and 220,126

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Solution

The third proportional to 104,297 and 220,126 is: 464,591.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,297 : 220,126 = 220,126 : x
  2. Step 2: Convert to fraction form
    104,297/220,126 = 220,126/x
  3. Step 3: Cross multiply
    104,297x = 220,126 × 220,126
  4. Step 4: Simplify right side
    104,297x = 48,455,455,876
  5. Step 5: Solve for x
    x = 48,455,455,876/104,297
  6. Step 6: Final answer
    x = 464,591.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.