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Finding the Third Proportional to 205,767 and 449,239.50

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Solution

The third proportional to 205,767 and 449,239.50 is: 980,799.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,767 : 449,239.50 = 449,239.50 : x
  2. Step 2: Convert to fraction form
    205,767/449,239.50 = 449,239.50/x
  3. Step 3: Cross multiply
    205,767x = 449,239.50 × 449,239.50
  4. Step 4: Simplify right side
    205,767x = 201,816,128,360.25
  5. Step 5: Solve for x
    x = 201,816,128,360.25/205,767
  6. Step 6: Final answer
    x = 980,799.29

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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.