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Finding the Third Proportional to 113,187 and 247,974

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Solution

The third proportional to 113,187 and 247,974 is: 543,270.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,187 : 247,974 = 247,974 : x
  2. Step 2: Convert to fraction form
    113,187/247,974 = 247,974/x
  3. Step 3: Cross multiply
    113,187x = 247,974 × 247,974
  4. Step 4: Simplify right side
    113,187x = 61,491,104,676
  5. Step 5: Solve for x
    x = 61,491,104,676/113,187
  6. Step 6: Final answer
    x = 543,270.03

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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.