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Finding the Third Proportional to 271,342.50 and 550,074

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Solution

The third proportional to 271,342.50 and 550,074 is: 1,115,127.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,342.50 : 550,074 = 550,074 : x
  2. Step 2: Convert to fraction form
    271,342.50/550,074 = 550,074/x
  3. Step 3: Cross multiply
    271,342.50x = 550,074 × 550,074
  4. Step 4: Simplify right side
    271,342.50x = 302,581,405,476
  5. Step 5: Solve for x
    x = 302,581,405,476/271,342.50
  6. Step 6: Final answer
    x = 1,115,127.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.