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Finding the Third Proportional to 193,500.56 and 284,563.13

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Solution

The third proportional to 193,500.56 and 284,563.13 is: 418,480.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,500.56 : 284,563.13 = 284,563.13 : x
  2. Step 2: Convert to fraction form
    193,500.56/284,563.13 = 284,563.13/x
  3. Step 3: Cross multiply
    193,500.56x = 284,563.13 × 284,563.13
  4. Step 4: Simplify right side
    193,500.56x = 80,976,172,109.77
  5. Step 5: Solve for x
    x = 80,976,172,109.77/193,500.56
  6. Step 6: Final answer
    x = 418,480.29

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.