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Finding the Third Proportional to 192,576 and 288,336

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Solution

The third proportional to 192,576 and 288,336 is: 431,713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,576 : 288,336 = 288,336 : x
  2. Step 2: Convert to fraction form
    192,576/288,336 = 288,336/x
  3. Step 3: Cross multiply
    192,576x = 288,336 × 288,336
  4. Step 4: Simplify right side
    192,576x = 83,137,648,896
  5. Step 5: Solve for x
    x = 83,137,648,896/192,576
  6. Step 6: Final answer
    x = 431,713.45

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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.