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Finding the Third Proportional to 203,241.94 and 442,675.69

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Solution

The third proportional to 203,241.94 and 442,675.69 is: 964,179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,241.94 : 442,675.69 = 442,675.69 : x
  2. Step 2: Convert to fraction form
    203,241.94/442,675.69 = 442,675.69/x
  3. Step 3: Cross multiply
    203,241.94x = 442,675.69 × 442,675.69
  4. Step 4: Simplify right side
    203,241.94x = 195,961,764,303.60
  5. Step 5: Solve for x
    x = 195,961,764,303.60/203,241.94
  6. Step 6: Final answer
    x = 964,179.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.