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Finding the Third Proportional to 190,598 and 267,752

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Solution

The third proportional to 190,598 and 267,752 is: 376,137.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,598 : 267,752 = 267,752 : x
  2. Step 2: Convert to fraction form
    190,598/267,752 = 267,752/x
  3. Step 3: Cross multiply
    190,598x = 267,752 × 267,752
  4. Step 4: Simplify right side
    190,598x = 71,691,133,504
  5. Step 5: Solve for x
    x = 71,691,133,504/190,598
  6. Step 6: Final answer
    x = 376,137.91

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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.