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Finding the Third Proportional to 192,570.75 and 299,349

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Solution

The third proportional to 192,570.75 and 299,349 is: 465,334.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,570.75 : 299,349 = 299,349 : x
  2. Step 2: Convert to fraction form
    192,570.75/299,349 = 299,349/x
  3. Step 3: Cross multiply
    192,570.75x = 299,349 × 299,349
  4. Step 4: Simplify right side
    192,570.75x = 89,609,823,801
  5. Step 5: Solve for x
    x = 89,609,823,801/192,570.75
  6. Step 6: Final answer
    x = 465,334.55

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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.