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Finding the Third Proportional to 114,023.25 and 178,867.75

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Solution

The third proportional to 114,023.25 and 178,867.75 is: 280,589.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,023.25 : 178,867.75 = 178,867.75 : x
  2. Step 2: Convert to fraction form
    114,023.25/178,867.75 = 178,867.75/x
  3. Step 3: Cross multiply
    114,023.25x = 178,867.75 × 178,867.75
  4. Step 4: Simplify right side
    114,023.25x = 31,993,671,990.06
  5. Step 5: Solve for x
    x = 31,993,671,990.06/114,023.25
  6. Step 6: Final answer
    x = 280,589.02

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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.