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Finding the Third Proportional to 203,951 and 437,425.75

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Solution

The third proportional to 203,951 and 437,425.75 is: 938,172.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,951 : 437,425.75 = 437,425.75 : x
  2. Step 2: Convert to fraction form
    203,951/437,425.75 = 437,425.75/x
  3. Step 3: Cross multiply
    203,951x = 437,425.75 × 437,425.75
  4. Step 4: Simplify right side
    203,951x = 191,341,286,763.06
  5. Step 5: Solve for x
    x = 191,341,286,763.06/203,951
  6. Step 6: Final answer
    x = 938,172.83

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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.