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Finding the Third Proportional to 149,966 and 226,491

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Solution

The third proportional to 149,966 and 226,491 is: 342,065.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,966 : 226,491 = 226,491 : x
  2. Step 2: Convert to fraction form
    149,966/226,491 = 226,491/x
  3. Step 3: Cross multiply
    149,966x = 226,491 × 226,491
  4. Step 4: Simplify right side
    149,966x = 51,298,173,081
  5. Step 5: Solve for x
    x = 51,298,173,081/149,966
  6. Step 6: Final answer
    x = 342,065.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.