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Finding the Third Proportional to 190,930 and 413,324

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Solution

The third proportional to 190,930 and 413,324 is: 894,761.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,930 : 413,324 = 413,324 : x
  2. Step 2: Convert to fraction form
    190,930/413,324 = 413,324/x
  3. Step 3: Cross multiply
    190,930x = 413,324 × 413,324
  4. Step 4: Simplify right side
    190,930x = 170,836,728,976
  5. Step 5: Solve for x
    x = 170,836,728,976/190,930
  6. Step 6: Final answer
    x = 894,761.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.