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Finding the Third Proportional to 192,786.38 and 288,045.56

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Solution

The third proportional to 192,786.38 and 288,045.56 is: 430,374.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,786.38 : 288,045.56 = 288,045.56 : x
  2. Step 2: Convert to fraction form
    192,786.38/288,045.56 = 288,045.56/x
  3. Step 3: Cross multiply
    192,786.38x = 288,045.56 × 288,045.56
  4. Step 4: Simplify right side
    192,786.38x = 82,970,246,075.94
  5. Step 5: Solve for x
    x = 82,970,246,075.94/192,786.38
  6. Step 6: Final answer
    x = 430,374.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.