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Finding the Third Proportional to 198,257.63 and 299,224.13

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Solution

The third proportional to 198,257.63 and 299,224.13 is: 451,609.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,257.63 : 299,224.13 = 299,224.13 : x
  2. Step 2: Convert to fraction form
    198,257.63/299,224.13 = 299,224.13/x
  3. Step 3: Cross multiply
    198,257.63x = 299,224.13 × 299,224.13
  4. Step 4: Simplify right side
    198,257.63x = 89,535,076,982.02
  5. Step 5: Solve for x
    x = 89,535,076,982.02/198,257.63
  6. Step 6: Final answer
    x = 451,609.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.