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Finding the Third Proportional to 204,862.50 and 449,091

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Solution

The third proportional to 204,862.50 and 449,091 is: 984,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,862.50 : 449,091 = 449,091 : x
  2. Step 2: Convert to fraction form
    204,862.50/449,091 = 449,091/x
  3. Step 3: Cross multiply
    204,862.50x = 449,091 × 449,091
  4. Step 4: Simplify right side
    204,862.50x = 201,682,726,281
  5. Step 5: Solve for x
    x = 201,682,726,281/204,862.50
  6. Step 6: Final answer
    x = 984,478.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.