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Finding the Third Proportional to 205,765.31 and 449,236.13

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Solution

The third proportional to 205,765.31 and 449,236.13 is: 980,792.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,765.31 : 449,236.13 = 449,236.13 : x
  2. Step 2: Convert to fraction form
    205,765.31/449,236.13 = 449,236.13/x
  3. Step 3: Cross multiply
    205,765.31x = 449,236.13 × 449,236.13
  4. Step 4: Simplify right side
    205,765.31x = 201,813,096,005.02
  5. Step 5: Solve for x
    x = 201,813,096,005.02/205,765.31
  6. Step 6: Final answer
    x = 980,792.60

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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.