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Finding the Third Proportional to 203,861.25 and 433,966.50

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Solution

The third proportional to 203,861.25 and 433,966.50 is: 923,799.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,861.25 : 433,966.50 = 433,966.50 : x
  2. Step 2: Convert to fraction form
    203,861.25/433,966.50 = 433,966.50/x
  3. Step 3: Cross multiply
    203,861.25x = 433,966.50 × 433,966.50
  4. Step 4: Simplify right side
    203,861.25x = 188,326,923,122.25
  5. Step 5: Solve for x
    x = 188,326,923,122.25/203,861.25
  6. Step 6: Final answer
    x = 923,799.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.