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Finding the Third Proportional to 192,504 and 299,228

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Solution

The third proportional to 192,504 and 299,228 is: 465,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,504 : 299,228 = 299,228 : x
  2. Step 2: Convert to fraction form
    192,504/299,228 = 299,228/x
  3. Step 3: Cross multiply
    192,504x = 299,228 × 299,228
  4. Step 4: Simplify right side
    192,504x = 89,537,395,984
  5. Step 5: Solve for x
    x = 89,537,395,984/192,504
  6. Step 6: Final answer
    x = 465,119.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.