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Finding the Third Proportional to 104,049 and 227,360

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Solution

The third proportional to 104,049 and 227,360 is: 496,809.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,049 : 227,360 = 227,360 : x
  2. Step 2: Convert to fraction form
    104,049/227,360 = 227,360/x
  3. Step 3: Cross multiply
    104,049x = 227,360 × 227,360
  4. Step 4: Simplify right side
    104,049x = 51,692,569,600
  5. Step 5: Solve for x
    x = 51,692,569,600/104,049
  6. Step 6: Final answer
    x = 496,809.86

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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.