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Finding the Third Proportional to 177,286 and 393,938

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Solution

The third proportional to 177,286 and 393,938 is: 875,349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,286 : 393,938 = 393,938 : x
  2. Step 2: Convert to fraction form
    177,286/393,938 = 393,938/x
  3. Step 3: Cross multiply
    177,286x = 393,938 × 393,938
  4. Step 4: Simplify right side
    177,286x = 155,187,147,844
  5. Step 5: Solve for x
    x = 155,187,147,844/177,286
  6. Step 6: Final answer
    x = 875,349.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.