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Finding the Third Proportional to 104,290 and 228,182

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Solution

The third proportional to 104,290 and 228,182 is: 499,252.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,290 : 228,182 = 228,182 : x
  2. Step 2: Convert to fraction form
    104,290/228,182 = 228,182/x
  3. Step 3: Cross multiply
    104,290x = 228,182 × 228,182
  4. Step 4: Simplify right side
    104,290x = 52,067,025,124
  5. Step 5: Solve for x
    x = 52,067,025,124/104,290
  6. Step 6: Final answer
    x = 499,252.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.