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Finding the Third Proportional to 104,278.50 and 227,683

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Solution

The third proportional to 104,278.50 and 227,683 is: 497,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,278.50 : 227,683 = 227,683 : x
  2. Step 2: Convert to fraction form
    104,278.50/227,683 = 227,683/x
  3. Step 3: Cross multiply
    104,278.50x = 227,683 × 227,683
  4. Step 4: Simplify right side
    104,278.50x = 51,839,548,489
  5. Step 5: Solve for x
    x = 51,839,548,489/104,278.50
  6. Step 6: Final answer
    x = 497,125.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.