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Finding the Third Proportional to 113,909.63 and 263,703.38

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Solution

The third proportional to 113,909.63 and 263,703.38 is: 610,479.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,909.63 : 263,703.38 = 263,703.38 : x
  2. Step 2: Convert to fraction form
    113,909.63/263,703.38 = 263,703.38/x
  3. Step 3: Cross multiply
    113,909.63x = 263,703.38 × 263,703.38
  4. Step 4: Simplify right side
    113,909.63x = 69,539,469,986.39
  5. Step 5: Solve for x
    x = 69,539,469,986.39/113,909.63
  6. Step 6: Final answer
    x = 610,479.32

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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.