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Finding the Third Proportional to 184,757.63 and 398,010.38

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Solution

The third proportional to 184,757.63 and 398,010.38 is: 857,405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,757.63 : 398,010.38 = 398,010.38 : x
  2. Step 2: Convert to fraction form
    184,757.63/398,010.38 = 398,010.38/x
  3. Step 3: Cross multiply
    184,757.63x = 398,010.38 × 398,010.38
  4. Step 4: Simplify right side
    184,757.63x = 158,412,258,607.64
  5. Step 5: Solve for x
    x = 158,412,258,607.64/184,757.63
  6. Step 6: Final answer
    x = 857,405.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.