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Finding the Third Proportional to 214,994.25 and 333,578.25

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Solution

The third proportional to 214,994.25 and 333,578.25 is: 517,569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,994.25 : 333,578.25 = 333,578.25 : x
  2. Step 2: Convert to fraction form
    214,994.25/333,578.25 = 333,578.25/x
  3. Step 3: Cross multiply
    214,994.25x = 333,578.25 × 333,578.25
  4. Step 4: Simplify right side
    214,994.25x = 111,274,448,873.06
  5. Step 5: Solve for x
    x = 111,274,448,873.06/214,994.25
  6. Step 6: Final answer
    x = 517,569.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.