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Finding the Third Proportional to 114,716 and 247,004

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Solution

The third proportional to 114,716 and 247,004 is: 531,843.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,716 : 247,004 = 247,004 : x
  2. Step 2: Convert to fraction form
    114,716/247,004 = 247,004/x
  3. Step 3: Cross multiply
    114,716x = 247,004 × 247,004
  4. Step 4: Simplify right side
    114,716x = 61,010,976,016
  5. Step 5: Solve for x
    x = 61,010,976,016/114,716
  6. Step 6: Final answer
    x = 531,843.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.