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Finding the Third Proportional to 192,185.50 and 413,895

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Solution

The third proportional to 192,185.50 and 413,895 is: 891,373.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,185.50 : 413,895 = 413,895 : x
  2. Step 2: Convert to fraction form
    192,185.50/413,895 = 413,895/x
  3. Step 3: Cross multiply
    192,185.50x = 413,895 × 413,895
  4. Step 4: Simplify right side
    192,185.50x = 171,309,071,025
  5. Step 5: Solve for x
    x = 171,309,071,025/192,185.50
  6. Step 6: Final answer
    x = 891,373.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.