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Finding the Third Proportional to 103,640 and 227,584

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Solution

The third proportional to 103,640 and 227,584 is: 499,753.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,640 : 227,584 = 227,584 : x
  2. Step 2: Convert to fraction form
    103,640/227,584 = 227,584/x
  3. Step 3: Cross multiply
    103,640x = 227,584 × 227,584
  4. Step 4: Simplify right side
    103,640x = 51,794,477,056
  5. Step 5: Solve for x
    x = 51,794,477,056/103,640
  6. Step 6: Final answer
    x = 499,753.73

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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.