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Finding the Third Proportional to 205,250.63 and 449,158.50

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Solution

The third proportional to 205,250.63 and 449,158.50 is: 982,912.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,250.63 : 449,158.50 = 449,158.50 : x
  2. Step 2: Convert to fraction form
    205,250.63/449,158.50 = 449,158.50/x
  3. Step 3: Cross multiply
    205,250.63x = 449,158.50 × 449,158.50
  4. Step 4: Simplify right side
    205,250.63x = 201,743,358,122.25
  5. Step 5: Solve for x
    x = 201,743,358,122.25/205,250.63
  6. Step 6: Final answer
    x = 982,912.27

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