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Finding the Third Proportional to 104,519 and 229,847

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Solution

The third proportional to 104,519 and 229,847 is: 505,454.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,519 : 229,847 = 229,847 : x
  2. Step 2: Convert to fraction form
    104,519/229,847 = 229,847/x
  3. Step 3: Cross multiply
    104,519x = 229,847 × 229,847
  4. Step 4: Simplify right side
    104,519x = 52,829,643,409
  5. Step 5: Solve for x
    x = 52,829,643,409/104,519
  6. Step 6: Final answer
    x = 505,454.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.