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Finding the Third Proportional to 149,049 and 223,006

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Solution

The third proportional to 149,049 and 223,006 is: 333,659.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,049 : 223,006 = 223,006 : x
  2. Step 2: Convert to fraction form
    149,049/223,006 = 223,006/x
  3. Step 3: Cross multiply
    149,049x = 223,006 × 223,006
  4. Step 4: Simplify right side
    149,049x = 49,731,676,036
  5. Step 5: Solve for x
    x = 49,731,676,036/149,049
  6. Step 6: Final answer
    x = 333,659.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.