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Finding the Third Proportional to 167,087.25 and 222,724.13

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Solution

The third proportional to 167,087.25 and 222,724.13 is: 296,887.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,087.25 : 222,724.13 = 222,724.13 : x
  2. Step 2: Convert to fraction form
    167,087.25/222,724.13 = 222,724.13/x
  3. Step 3: Cross multiply
    167,087.25x = 222,724.13 × 222,724.13
  4. Step 4: Simplify right side
    167,087.25x = 49,606,035,857.02
  5. Step 5: Solve for x
    x = 49,606,035,857.02/167,087.25
  6. Step 6: Final answer
    x = 296,887.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.