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Finding the Third Proportional to 194,867.25 and 418,743

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Solution

The third proportional to 194,867.25 and 418,743 is: 899,821.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,867.25 : 418,743 = 418,743 : x
  2. Step 2: Convert to fraction form
    194,867.25/418,743 = 418,743/x
  3. Step 3: Cross multiply
    194,867.25x = 418,743 × 418,743
  4. Step 4: Simplify right side
    194,867.25x = 175,345,700,049
  5. Step 5: Solve for x
    x = 175,345,700,049/194,867.25
  6. Step 6: Final answer
    x = 899,821.29

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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.