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Finding the Third Proportional to 201,732 and 303,468.75

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Solution

The third proportional to 201,732 and 303,468.75 is: 456,513.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,732 : 303,468.75 = 303,468.75 : x
  2. Step 2: Convert to fraction form
    201,732/303,468.75 = 303,468.75/x
  3. Step 3: Cross multiply
    201,732x = 303,468.75 × 303,468.75
  4. Step 4: Simplify right side
    201,732x = 92,093,282,226.56
  5. Step 5: Solve for x
    x = 92,093,282,226.56/201,732
  6. Step 6: Final answer
    x = 456,513.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.