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Finding the Third Proportional to 104,288 and 227,200

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Solution

The third proportional to 104,288 and 227,200 is: 494,973.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,288 : 227,200 = 227,200 : x
  2. Step 2: Convert to fraction form
    104,288/227,200 = 227,200/x
  3. Step 3: Cross multiply
    104,288x = 227,200 × 227,200
  4. Step 4: Simplify right side
    104,288x = 51,619,840,000
  5. Step 5: Solve for x
    x = 51,619,840,000/104,288
  6. Step 6: Final answer
    x = 494,973.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.