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Finding the Third Proportional to 201,261.38 and 437,467.50

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Solution

The third proportional to 201,261.38 and 437,467.50 is: 950,891.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,261.38 : 437,467.50 = 437,467.50 : x
  2. Step 2: Convert to fraction form
    201,261.38/437,467.50 = 437,467.50/x
  3. Step 3: Cross multiply
    201,261.38x = 437,467.50 × 437,467.50
  4. Step 4: Simplify right side
    201,261.38x = 191,377,813,556.25
  5. Step 5: Solve for x
    x = 191,377,813,556.25/201,261.38
  6. Step 6: Final answer
    x = 950,891.91

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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.