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Finding the Third Proportional to 190,063.97 and 413,206.31

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Solution

The third proportional to 190,063.97 and 413,206.31 is: 898,326.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,063.97 : 413,206.31 = 413,206.31 : x
  2. Step 2: Convert to fraction form
    190,063.97/413,206.31 = 413,206.31/x
  3. Step 3: Cross multiply
    190,063.97x = 413,206.31 × 413,206.31
  4. Step 4: Simplify right side
    190,063.97x = 170,739,456,689.85
  5. Step 5: Solve for x
    x = 170,739,456,689.85/190,063.97
  6. Step 6: Final answer
    x = 898,326.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.