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Finding the Third Proportional to 207,326 and 452,182

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Solution

The third proportional to 207,326 and 452,182 is: 986,217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,326 : 452,182 = 452,182 : x
  2. Step 2: Convert to fraction form
    207,326/452,182 = 452,182/x
  3. Step 3: Cross multiply
    207,326x = 452,182 × 452,182
  4. Step 4: Simplify right side
    207,326x = 204,468,561,124
  5. Step 5: Solve for x
    x = 204,468,561,124/207,326
  6. Step 6: Final answer
    x = 986,217.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.