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Finding the Third Proportional to 103,900 and 227,240

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Solution

The third proportional to 103,900 and 227,240 is: 496,997.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,900 : 227,240 = 227,240 : x
  2. Step 2: Convert to fraction form
    103,900/227,240 = 227,240/x
  3. Step 3: Cross multiply
    103,900x = 227,240 × 227,240
  4. Step 4: Simplify right side
    103,900x = 51,638,017,600
  5. Step 5: Solve for x
    x = 51,638,017,600/103,900
  6. Step 6: Final answer
    x = 496,997.28

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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.