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Finding the Third Proportional to 210,863.25 and 454,941.56

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Solution

The third proportional to 210,863.25 and 454,941.56 is: 981,545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,863.25 : 454,941.56 = 454,941.56 : x
  2. Step 2: Convert to fraction form
    210,863.25/454,941.56 = 454,941.56/x
  3. Step 3: Cross multiply
    210,863.25x = 454,941.56 × 454,941.56
  4. Step 4: Simplify right side
    210,863.25x = 206,971,825,289.94
  5. Step 5: Solve for x
    x = 206,971,825,289.94/210,863.25
  6. Step 6: Final answer
    x = 981,545.27

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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.