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Finding the Third Proportional to 194,715.75 and 418,517

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Solution

The third proportional to 194,715.75 and 418,517 is: 899,549.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,715.75 : 418,517 = 418,517 : x
  2. Step 2: Convert to fraction form
    194,715.75/418,517 = 418,517/x
  3. Step 3: Cross multiply
    194,715.75x = 418,517 × 418,517
  4. Step 4: Simplify right side
    194,715.75x = 175,156,479,289
  5. Step 5: Solve for x
    x = 175,156,479,289/194,715.75
  6. Step 6: Final answer
    x = 899,549.62

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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.