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Finding the Third Proportional to 84,928.50 and 200,643.75

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Solution

The third proportional to 84,928.50 and 200,643.75 is: 474,021.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,928.50 : 200,643.75 = 200,643.75 : x
  2. Step 2: Convert to fraction form
    84,928.50/200,643.75 = 200,643.75/x
  3. Step 3: Cross multiply
    84,928.50x = 200,643.75 × 200,643.75
  4. Step 4: Simplify right side
    84,928.50x = 40,257,914,414.06
  5. Step 5: Solve for x
    x = 40,257,914,414.06/84,928.50
  6. Step 6: Final answer
    x = 474,021.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.