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Finding the Third Proportional to 203,914.13 and 437,362.88

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Solution

The third proportional to 203,914.13 and 437,362.88 is: 938,072.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,914.13 : 437,362.88 = 437,362.88 : x
  2. Step 2: Convert to fraction form
    203,914.13/437,362.88 = 437,362.88/x
  3. Step 3: Cross multiply
    203,914.13x = 437,362.88 × 437,362.88
  4. Step 4: Simplify right side
    203,914.13x = 191,286,284,428.27
  5. Step 5: Solve for x
    x = 191,286,284,428.27/203,914.13
  6. Step 6: Final answer
    x = 938,072.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.