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Finding the Third Proportional to 201,061.50 and 312,617.25

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Solution

The third proportional to 201,061.50 and 312,617.25 is: 486,067.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,061.50 : 312,617.25 = 312,617.25 : x
  2. Step 2: Convert to fraction form
    201,061.50/312,617.25 = 312,617.25/x
  3. Step 3: Cross multiply
    201,061.50x = 312,617.25 × 312,617.25
  4. Step 4: Simplify right side
    201,061.50x = 97,729,544,997.56
  5. Step 5: Solve for x
    x = 97,729,544,997.56/201,061.50
  6. Step 6: Final answer
    x = 486,067.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.