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Finding the Third Proportional to 184,578.75 and 401,132.25

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Solution

The third proportional to 184,578.75 and 401,132.25 is: 871,753.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,578.75 : 401,132.25 = 401,132.25 : x
  2. Step 2: Convert to fraction form
    184,578.75/401,132.25 = 401,132.25/x
  3. Step 3: Cross multiply
    184,578.75x = 401,132.25 × 401,132.25
  4. Step 4: Simplify right side
    184,578.75x = 160,907,081,990.06
  5. Step 5: Solve for x
    x = 160,907,081,990.06/184,578.75
  6. Step 6: Final answer
    x = 871,753.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.