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Finding the Third Proportional to 218,712.25 and 454,874.75

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Solution

The third proportional to 218,712.25 and 454,874.75 is: 946,042.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,712.25 : 454,874.75 = 454,874.75 : x
  2. Step 2: Convert to fraction form
    218,712.25/454,874.75 = 454,874.75/x
  3. Step 3: Cross multiply
    218,712.25x = 454,874.75 × 454,874.75
  4. Step 4: Simplify right side
    218,712.25x = 206,911,038,187.56
  5. Step 5: Solve for x
    x = 206,911,038,187.56/218,712.25
  6. Step 6: Final answer
    x = 946,042.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.