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Finding the Third Proportional to 192,840.75 and 418,849.88

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Solution

The third proportional to 192,840.75 and 418,849.88 is: 909,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,840.75 : 418,849.88 = 418,849.88 : x
  2. Step 2: Convert to fraction form
    192,840.75/418,849.88 = 418,849.88/x
  3. Step 3: Cross multiply
    192,840.75x = 418,849.88 × 418,849.88
  4. Step 4: Simplify right side
    192,840.75x = 175,435,217,787.52
  5. Step 5: Solve for x
    x = 175,435,217,787.52/192,840.75
  6. Step 6: Final answer
    x = 909,741.42

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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.