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Finding the Third Proportional to 103,982 and 227,754

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Solution

The third proportional to 103,982 and 227,754 is: 498,854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,982 : 227,754 = 227,754 : x
  2. Step 2: Convert to fraction form
    103,982/227,754 = 227,754/x
  3. Step 3: Cross multiply
    103,982x = 227,754 × 227,754
  4. Step 4: Simplify right side
    103,982x = 51,871,884,516
  5. Step 5: Solve for x
    x = 51,871,884,516/103,982
  6. Step 6: Final answer
    x = 498,854.46

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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.