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Finding the Third Proportional to 209,594.25 and 296,287.75

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Solution

The third proportional to 209,594.25 and 296,287.75 is: 418,839.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,594.25 : 296,287.75 = 296,287.75 : x
  2. Step 2: Convert to fraction form
    209,594.25/296,287.75 = 296,287.75/x
  3. Step 3: Cross multiply
    209,594.25x = 296,287.75 × 296,287.75
  4. Step 4: Simplify right side
    209,594.25x = 87,786,430,800.06
  5. Step 5: Solve for x
    x = 87,786,430,800.06/209,594.25
  6. Step 6: Final answer
    x = 418,839.88

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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.