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Finding the Third Proportional to 113,972.81 and 263,826.75

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Solution

The third proportional to 113,972.81 and 263,826.75 is: 610,711.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,972.81 : 263,826.75 = 263,826.75 : x
  2. Step 2: Convert to fraction form
    113,972.81/263,826.75 = 263,826.75/x
  3. Step 3: Cross multiply
    113,972.81x = 263,826.75 × 263,826.75
  4. Step 4: Simplify right side
    113,972.81x = 69,604,554,015.56
  5. Step 5: Solve for x
    x = 69,604,554,015.56/113,972.81
  6. Step 6: Final answer
    x = 610,711.91

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.