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Finding the Third Proportional to 194,854.78 and 418,717.69

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Solution

The third proportional to 194,854.78 and 418,717.69 is: 899,770.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,854.78 : 418,717.69 = 418,717.69 : x
  2. Step 2: Convert to fraction form
    194,854.78/418,717.69 = 418,717.69/x
  3. Step 3: Cross multiply
    194,854.78x = 418,717.69 × 418,717.69
  4. Step 4: Simplify right side
    194,854.78x = 175,324,501,825.35
  5. Step 5: Solve for x
    x = 175,324,501,825.35/194,854.78
  6. Step 6: Final answer
    x = 899,770.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.