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Finding the Third Proportional to 103,974 and 227,692

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Solution

The third proportional to 103,974 and 227,692 is: 498,621.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,974 : 227,692 = 227,692 : x
  2. Step 2: Convert to fraction form
    103,974/227,692 = 227,692/x
  3. Step 3: Cross multiply
    103,974x = 227,692 × 227,692
  4. Step 4: Simplify right side
    103,974x = 51,843,646,864
  5. Step 5: Solve for x
    x = 51,843,646,864/103,974
  6. Step 6: Final answer
    x = 498,621.26

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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.