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Finding the Third Proportional to 192,008 and 287,244

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Solution

The third proportional to 192,008 and 287,244 is: 429,717.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,008 : 287,244 = 287,244 : x
  2. Step 2: Convert to fraction form
    192,008/287,244 = 287,244/x
  3. Step 3: Cross multiply
    192,008x = 287,244 × 287,244
  4. Step 4: Simplify right side
    192,008x = 82,509,115,536
  5. Step 5: Solve for x
    x = 82,509,115,536/192,008
  6. Step 6: Final answer
    x = 429,717.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.