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Finding the Third Proportional to 201,147.75 and 431,502.75

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Solution

The third proportional to 201,147.75 and 431,502.75 is: 925,660.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,147.75 : 431,502.75 = 431,502.75 : x
  2. Step 2: Convert to fraction form
    201,147.75/431,502.75 = 431,502.75/x
  3. Step 3: Cross multiply
    201,147.75x = 431,502.75 × 431,502.75
  4. Step 4: Simplify right side
    201,147.75x = 186,194,623,257.56
  5. Step 5: Solve for x
    x = 186,194,623,257.56/201,147.75
  6. Step 6: Final answer
    x = 925,660.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.