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Finding the Third Proportional to 105,464 and 227,503

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Solution

The third proportional to 105,464 and 227,503 is: 490,760.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,464 : 227,503 = 227,503 : x
  2. Step 2: Convert to fraction form
    105,464/227,503 = 227,503/x
  3. Step 3: Cross multiply
    105,464x = 227,503 × 227,503
  4. Step 4: Simplify right side
    105,464x = 51,757,615,009
  5. Step 5: Solve for x
    x = 51,757,615,009/105,464
  6. Step 6: Final answer
    x = 490,760.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.