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Finding the Third Proportional to 209,619.56 and 296,325

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Solution

The third proportional to 209,619.56 and 296,325 is: 418,894.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,619.56 : 296,325 = 296,325 : x
  2. Step 2: Convert to fraction form
    209,619.56/296,325 = 296,325/x
  3. Step 3: Cross multiply
    209,619.56x = 296,325 × 296,325
  4. Step 4: Simplify right side
    209,619.56x = 87,808,505,625
  5. Step 5: Solve for x
    x = 87,808,505,625/209,619.56
  6. Step 6: Final answer
    x = 418,894.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.