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Finding the Third Proportional to 214,569.84 and 324,616.78

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Solution

The third proportional to 214,569.84 and 324,616.78 is: 491,103.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,569.84 : 324,616.78 = 324,616.78 : x
  2. Step 2: Convert to fraction form
    214,569.84/324,616.78 = 324,616.78/x
  3. Step 3: Cross multiply
    214,569.84x = 324,616.78 × 324,616.78
  4. Step 4: Simplify right side
    214,569.84x = 105,376,054,669.11
  5. Step 5: Solve for x
    x = 105,376,054,669.11/214,569.84
  6. Step 6: Final answer
    x = 491,103.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.