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Finding the Third Proportional to 144,964.50 and 294,027

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Solution

The third proportional to 144,964.50 and 294,027 is: 596,365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,964.50 : 294,027 = 294,027 : x
  2. Step 2: Convert to fraction form
    144,964.50/294,027 = 294,027/x
  3. Step 3: Cross multiply
    144,964.50x = 294,027 × 294,027
  4. Step 4: Simplify right side
    144,964.50x = 86,451,876,729
  5. Step 5: Solve for x
    x = 86,451,876,729/144,964.50
  6. Step 6: Final answer
    x = 596,365.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.