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Finding the Third Proportional to 199,540.50 and 271,410

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Solution

The third proportional to 199,540.50 and 271,410 is: 369,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,540.50 : 271,410 = 271,410 : x
  2. Step 2: Convert to fraction form
    199,540.50/271,410 = 271,410/x
  3. Step 3: Cross multiply
    199,540.50x = 271,410 × 271,410
  4. Step 4: Simplify right side
    199,540.50x = 73,663,388,100
  5. Step 5: Solve for x
    x = 73,663,388,100/199,540.50
  6. Step 6: Final answer
    x = 369,165.10

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.