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Finding the Third Proportional to 113,908.88 and 263,701.50

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Solution

The third proportional to 113,908.88 and 263,701.50 is: 610,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,908.88 : 263,701.50 = 263,701.50 : x
  2. Step 2: Convert to fraction form
    113,908.88/263,701.50 = 263,701.50/x
  3. Step 3: Cross multiply
    113,908.88x = 263,701.50 × 263,701.50
  4. Step 4: Simplify right side
    113,908.88x = 69,538,481,102.25
  5. Step 5: Solve for x
    x = 69,538,481,102.25/113,908.88
  6. Step 6: Final answer
    x = 610,474.65

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.