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Finding the Third Proportional to 149,699 and 226,100

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Solution

The third proportional to 149,699 and 226,100 is: 341,493.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,699 : 226,100 = 226,100 : x
  2. Step 2: Convert to fraction form
    149,699/226,100 = 226,100/x
  3. Step 3: Cross multiply
    149,699x = 226,100 × 226,100
  4. Step 4: Simplify right side
    149,699x = 51,121,210,000
  5. Step 5: Solve for x
    x = 51,121,210,000/149,699
  6. Step 6: Final answer
    x = 341,493.33

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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.