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Finding the Third Proportional to 190,606 and 267,764

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Solution

The third proportional to 190,606 and 267,764 is: 376,155.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,606 : 267,764 = 267,764 : x
  2. Step 2: Convert to fraction form
    190,606/267,764 = 267,764/x
  3. Step 3: Cross multiply
    190,606x = 267,764 × 267,764
  4. Step 4: Simplify right side
    190,606x = 71,697,559,696
  5. Step 5: Solve for x
    x = 71,697,559,696/190,606
  6. Step 6: Final answer
    x = 376,155.84

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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.