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Finding the Third Proportional to 201,165.75 and 301,753.13

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Solution

The third proportional to 201,165.75 and 301,753.13 is: 452,636.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,165.75 : 301,753.13 = 301,753.13 : x
  2. Step 2: Convert to fraction form
    201,165.75/301,753.13 = 301,753.13/x
  3. Step 3: Cross multiply
    201,165.75x = 301,753.13 × 301,753.13
  4. Step 4: Simplify right side
    201,165.75x = 91,054,948,447.27
  5. Step 5: Solve for x
    x = 91,054,948,447.27/201,165.75
  6. Step 6: Final answer
    x = 452,636.44

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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.