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Finding the Third Proportional to 149,262 and 226,053

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Solution

The third proportional to 149,262 and 226,053 is: 342,350.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,262 : 226,053 = 226,053 : x
  2. Step 2: Convert to fraction form
    149,262/226,053 = 226,053/x
  3. Step 3: Cross multiply
    149,262x = 226,053 × 226,053
  4. Step 4: Simplify right side
    149,262x = 51,099,958,809
  5. Step 5: Solve for x
    x = 51,099,958,809/149,262
  6. Step 6: Final answer
    x = 342,350.76

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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.