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Finding the Third Proportional to 114,024 and 178,867

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Solution

The third proportional to 114,024 and 178,867 is: 280,584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,024 : 178,867 = 178,867 : x
  2. Step 2: Convert to fraction form
    114,024/178,867 = 178,867/x
  3. Step 3: Cross multiply
    114,024x = 178,867 × 178,867
  4. Step 4: Simplify right side
    114,024x = 31,993,403,689
  5. Step 5: Solve for x
    x = 31,993,403,689/114,024
  6. Step 6: Final answer
    x = 280,584.82

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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.