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Finding the Third Proportional to 149,733 and 219,026

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Solution

The third proportional to 149,733 and 219,026 is: 320,386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,733 : 219,026 = 219,026 : x
  2. Step 2: Convert to fraction form
    149,733/219,026 = 219,026/x
  3. Step 3: Cross multiply
    149,733x = 219,026 × 219,026
  4. Step 4: Simplify right side
    149,733x = 47,972,388,676
  5. Step 5: Solve for x
    x = 47,972,388,676/149,733
  6. Step 6: Final answer
    x = 320,386.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.