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Finding the Third Proportional to 192,584.25 and 429,424.88

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Solution

The third proportional to 192,584.25 and 429,424.88 is: 957,532.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,584.25 : 429,424.88 = 429,424.88 : x
  2. Step 2: Convert to fraction form
    192,584.25/429,424.88 = 429,424.88/x
  3. Step 3: Cross multiply
    192,584.25x = 429,424.88 × 429,424.88
  4. Step 4: Simplify right side
    192,584.25x = 184,405,723,268.77
  5. Step 5: Solve for x
    x = 184,405,723,268.77/192,584.25
  6. Step 6: Final answer
    x = 957,532.73

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.