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Finding the Third Proportional to 192,254.91 and 414,092.53

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Solution

The third proportional to 192,254.91 and 414,092.53 is: 891,902.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,254.91 : 414,092.53 = 414,092.53 : x
  2. Step 2: Convert to fraction form
    192,254.91/414,092.53 = 414,092.53/x
  3. Step 3: Cross multiply
    192,254.91x = 414,092.53 × 414,092.53
  4. Step 4: Simplify right side
    192,254.91x = 171,472,624,437.03
  5. Step 5: Solve for x
    x = 171,472,624,437.03/192,254.91
  6. Step 6: Final answer
    x = 891,902.46

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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.