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Finding the Third Proportional to 113,568 and 241,704

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Solution

The third proportional to 113,568 and 241,704 is: 514,412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,568 : 241,704 = 241,704 : x
  2. Step 2: Convert to fraction form
    113,568/241,704 = 241,704/x
  3. Step 3: Cross multiply
    113,568x = 241,704 × 241,704
  4. Step 4: Simplify right side
    113,568x = 58,420,823,616
  5. Step 5: Solve for x
    x = 58,420,823,616/113,568
  6. Step 6: Final answer
    x = 514,412.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.