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Finding the Third Proportional to 184,729.50 and 398,301.75

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Solution

The third proportional to 184,729.50 and 398,301.75 is: 858,792.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,729.50 : 398,301.75 = 398,301.75 : x
  2. Step 2: Convert to fraction form
    184,729.50/398,301.75 = 398,301.75/x
  3. Step 3: Cross multiply
    184,729.50x = 398,301.75 × 398,301.75
  4. Step 4: Simplify right side
    184,729.50x = 158,644,284,053.06
  5. Step 5: Solve for x
    x = 158,644,284,053.06/184,729.50
  6. Step 6: Final answer
    x = 858,792.36

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Why These Related Problems?

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