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Finding the Third Proportional to 193,548 and 418,234

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Solution

The third proportional to 193,548 and 418,234 is: 903,753.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,548 : 418,234 = 418,234 : x
  2. Step 2: Convert to fraction form
    193,548/418,234 = 418,234/x
  3. Step 3: Cross multiply
    193,548x = 418,234 × 418,234
  4. Step 4: Simplify right side
    193,548x = 174,919,678,756
  5. Step 5: Solve for x
    x = 174,919,678,756/193,548
  6. Step 6: Final answer
    x = 903,753.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.