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Finding the Third Proportional to 149,968 and 226,494

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Solution

The third proportional to 149,968 and 226,494 is: 342,069.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,968 : 226,494 = 226,494 : x
  2. Step 2: Convert to fraction form
    149,968/226,494 = 226,494/x
  3. Step 3: Cross multiply
    149,968x = 226,494 × 226,494
  4. Step 4: Simplify right side
    149,968x = 51,299,532,036
  5. Step 5: Solve for x
    x = 51,299,532,036/149,968
  6. Step 6: Final answer
    x = 342,069.86

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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.