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Finding the Third Proportional to 185,906.25 and 401,334.75

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Solution

The third proportional to 185,906.25 and 401,334.75 is: 866,402.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,906.25 : 401,334.75 = 401,334.75 : x
  2. Step 2: Convert to fraction form
    185,906.25/401,334.75 = 401,334.75/x
  3. Step 3: Cross multiply
    185,906.25x = 401,334.75 × 401,334.75
  4. Step 4: Simplify right side
    185,906.25x = 161,069,581,557.56
  5. Step 5: Solve for x
    x = 161,069,581,557.56/185,906.25
  6. Step 6: Final answer
    x = 866,402.19

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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.