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Finding the Third Proportional to 104,275 and 229,286

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Solution

The third proportional to 104,275 and 229,286 is: 504,167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,275 : 229,286 = 229,286 : x
  2. Step 2: Convert to fraction form
    104,275/229,286 = 229,286/x
  3. Step 3: Cross multiply
    104,275x = 229,286 × 229,286
  4. Step 4: Simplify right side
    104,275x = 52,572,069,796
  5. Step 5: Solve for x
    x = 52,572,069,796/104,275
  6. Step 6: Final answer
    x = 504,167.54

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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.