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Finding the Third Proportional to 200,201.63 and 434,568.80

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Solution

The third proportional to 200,201.63 and 434,568.80 is: 943,299.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,201.63 : 434,568.80 = 434,568.80 : x
  2. Step 2: Convert to fraction form
    200,201.63/434,568.80 = 434,568.80/x
  3. Step 3: Cross multiply
    200,201.63x = 434,568.80 × 434,568.80
  4. Step 4: Simplify right side
    200,201.63x = 188,850,039,217.39
  5. Step 5: Solve for x
    x = 188,850,039,217.39/200,201.63
  6. Step 6: Final answer
    x = 943,299.23

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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.