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Finding the Third Proportional to 190,296 and 266,049

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Solution

The third proportional to 190,296 and 266,049 is: 371,957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,296 : 266,049 = 266,049 : x
  2. Step 2: Convert to fraction form
    190,296/266,049 = 266,049/x
  3. Step 3: Cross multiply
    190,296x = 266,049 × 266,049
  4. Step 4: Simplify right side
    190,296x = 70,782,070,401
  5. Step 5: Solve for x
    x = 70,782,070,401/190,296
  6. Step 6: Final answer
    x = 371,957.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.