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Finding the Third Proportional to 209,273.06 and 454,221.56

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Solution

The third proportional to 209,273.06 and 454,221.56 is: 985,875.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,273.06 : 454,221.56 = 454,221.56 : x
  2. Step 2: Convert to fraction form
    209,273.06/454,221.56 = 454,221.56/x
  3. Step 3: Cross multiply
    209,273.06x = 454,221.56 × 454,221.56
  4. Step 4: Simplify right side
    209,273.06x = 206,317,227,839.94
  5. Step 5: Solve for x
    x = 206,317,227,839.94/209,273.06
  6. Step 6: Final answer
    x = 985,875.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.