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Finding the Third Proportional to 184,470.75 and 398,000.25

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Solution

The third proportional to 184,470.75 and 398,000.25 is: 858,695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,470.75 : 398,000.25 = 398,000.25 : x
  2. Step 2: Convert to fraction form
    184,470.75/398,000.25 = 398,000.25/x
  3. Step 3: Cross multiply
    184,470.75x = 398,000.25 × 398,000.25
  4. Step 4: Simplify right side
    184,470.75x = 158,404,199,000.06
  5. Step 5: Solve for x
    x = 158,404,199,000.06/184,470.75
  6. Step 6: Final answer
    x = 858,695.48

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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.