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Finding the Third Proportional to 205,766 and 449,237

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Solution

The third proportional to 205,766 and 449,237 is: 980,793.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,766 : 449,237 = 449,237 : x
  2. Step 2: Convert to fraction form
    205,766/449,237 = 449,237/x
  3. Step 3: Cross multiply
    205,766x = 449,237 × 449,237
  4. Step 4: Simplify right side
    205,766x = 201,813,882,169
  5. Step 5: Solve for x
    x = 201,813,882,169/205,766
  6. Step 6: Final answer
    x = 980,793.14

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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.