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Finding the Third Proportional to 114,016 and 263,923

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Solution

The third proportional to 114,016 and 263,923 is: 610,926.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,016 : 263,923 = 263,923 : x
  2. Step 2: Convert to fraction form
    114,016/263,923 = 263,923/x
  3. Step 3: Cross multiply
    114,016x = 263,923 × 263,923
  4. Step 4: Simplify right side
    114,016x = 69,655,349,929
  5. Step 5: Solve for x
    x = 69,655,349,929/114,016
  6. Step 6: Final answer
    x = 610,926.10

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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.