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Finding the Third Proportional to 149,741 and 219,036

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Solution

The third proportional to 149,741 and 219,036 is: 320,398.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,741 : 219,036 = 219,036 : x
  2. Step 2: Convert to fraction form
    149,741/219,036 = 219,036/x
  3. Step 3: Cross multiply
    149,741x = 219,036 × 219,036
  4. Step 4: Simplify right side
    149,741x = 47,976,769,296
  5. Step 5: Solve for x
    x = 47,976,769,296/149,741
  6. Step 6: Final answer
    x = 320,398.35

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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.