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Finding the Third Proportional to 201,912 and 303,356

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Solution

The third proportional to 201,912 and 303,356 is: 455,767.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,912 : 303,356 = 303,356 : x
  2. Step 2: Convert to fraction form
    201,912/303,356 = 303,356/x
  3. Step 3: Cross multiply
    201,912x = 303,356 × 303,356
  4. Step 4: Simplify right side
    201,912x = 92,024,862,736
  5. Step 5: Solve for x
    x = 92,024,862,736/201,912
  6. Step 6: Final answer
    x = 455,767.18

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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.