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Finding the Third Proportional to 103,738 and 227,564

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Solution

The third proportional to 103,738 and 227,564 is: 499,193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,738 : 227,564 = 227,564 : x
  2. Step 2: Convert to fraction form
    103,738/227,564 = 227,564/x
  3. Step 3: Cross multiply
    103,738x = 227,564 × 227,564
  4. Step 4: Simplify right side
    103,738x = 51,785,374,096
  5. Step 5: Solve for x
    x = 51,785,374,096/103,738
  6. Step 6: Final answer
    x = 499,193.87

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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.