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Finding the Third Proportional to 184,715.50 and 398,901

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Solution

The third proportional to 184,715.50 and 398,901 is: 861,443.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,715.50 : 398,901 = 398,901 : x
  2. Step 2: Convert to fraction form
    184,715.50/398,901 = 398,901/x
  3. Step 3: Cross multiply
    184,715.50x = 398,901 × 398,901
  4. Step 4: Simplify right side
    184,715.50x = 159,122,007,801
  5. Step 5: Solve for x
    x = 159,122,007,801/184,715.50
  6. Step 6: Final answer
    x = 861,443.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.