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Finding the Third Proportional to 201,192 and 301,812

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Solution

The third proportional to 201,192 and 301,812 is: 452,754.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,192 : 301,812 = 301,812 : x
  2. Step 2: Convert to fraction form
    201,192/301,812 = 301,812/x
  3. Step 3: Cross multiply
    201,192x = 301,812 × 301,812
  4. Step 4: Simplify right side
    201,192x = 91,090,483,344
  5. Step 5: Solve for x
    x = 91,090,483,344/201,192
  6. Step 6: Final answer
    x = 452,754.00

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Why These Related Problems?

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