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Finding the Third Proportional to 114,022 and 178,864

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Solution

The third proportional to 114,022 and 178,864 is: 280,580.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,022 : 178,864 = 178,864 : x
  2. Step 2: Convert to fraction form
    114,022/178,864 = 178,864/x
  3. Step 3: Cross multiply
    114,022x = 178,864 × 178,864
  4. Step 4: Simplify right side
    114,022x = 31,992,330,496
  5. Step 5: Solve for x
    x = 31,992,330,496/114,022
  6. Step 6: Final answer
    x = 280,580.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.