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Finding the Third Proportional to 114,018.25 and 178,857.75

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Solution

The third proportional to 114,018.25 and 178,857.75 is: 280,569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,018.25 : 178,857.75 = 178,857.75 : x
  2. Step 2: Convert to fraction form
    114,018.25/178,857.75 = 178,857.75/x
  3. Step 3: Cross multiply
    114,018.25x = 178,857.75 × 178,857.75
  4. Step 4: Simplify right side
    114,018.25x = 31,990,094,735.06
  5. Step 5: Solve for x
    x = 31,990,094,735.06/114,018.25
  6. Step 6: Final answer
    x = 280,569.95

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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.