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Finding the Third Proportional to 184,773.09 and 398,387.25

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Solution

The third proportional to 184,773.09 and 398,387.25 is: 858,958.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,773.09 : 398,387.25 = 398,387.25 : x
  2. Step 2: Convert to fraction form
    184,773.09/398,387.25 = 398,387.25/x
  3. Step 3: Cross multiply
    184,773.09x = 398,387.25 × 398,387.25
  4. Step 4: Simplify right side
    184,773.09x = 158,712,400,962.56
  5. Step 5: Solve for x
    x = 158,712,400,962.56/184,773.09
  6. Step 6: Final answer
    x = 858,958.40

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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.