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Finding the Third Proportional to 203,503.50 and 442,019.25

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Solution

The third proportional to 203,503.50 and 442,019.25 is: 960,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,503.50 : 442,019.25 = 442,019.25 : x
  2. Step 2: Convert to fraction form
    203,503.50/442,019.25 = 442,019.25/x
  3. Step 3: Cross multiply
    203,503.50x = 442,019.25 × 442,019.25
  4. Step 4: Simplify right side
    203,503.50x = 195,381,017,370.56
  5. Step 5: Solve for x
    x = 195,381,017,370.56/203,503.50
  6. Step 6: Final answer
    x = 960,086.77

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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.