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Finding the Third Proportional to 149,742 and 226,173

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Solution

The third proportional to 149,742 and 226,173 is: 341,615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,742 : 226,173 = 226,173 : x
  2. Step 2: Convert to fraction form
    149,742/226,173 = 226,173/x
  3. Step 3: Cross multiply
    149,742x = 226,173 × 226,173
  4. Step 4: Simplify right side
    149,742x = 51,154,225,929
  5. Step 5: Solve for x
    x = 51,154,225,929/149,742
  6. Step 6: Final answer
    x = 341,615.75

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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.