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Finding the Third Proportional to 149,742 and 226,172

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Solution

The third proportional to 149,742 and 226,172 is: 341,612.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,742 : 226,172 = 226,172 : x
  2. Step 2: Convert to fraction form
    149,742/226,172 = 226,172/x
  3. Step 3: Cross multiply
    149,742x = 226,172 × 226,172
  4. Step 4: Simplify right side
    149,742x = 51,153,773,584
  5. Step 5: Solve for x
    x = 51,153,773,584/149,742
  6. Step 6: Final answer
    x = 341,612.73

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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.