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Finding the Third Proportional to 177,663 and 381,678

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Solution

The third proportional to 177,663 and 381,678 is: 819,968.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,663 : 381,678 = 381,678 : x
  2. Step 2: Convert to fraction form
    177,663/381,678 = 381,678/x
  3. Step 3: Cross multiply
    177,663x = 381,678 × 381,678
  4. Step 4: Simplify right side
    177,663x = 145,678,095,684
  5. Step 5: Solve for x
    x = 145,678,095,684/177,663
  6. Step 6: Final answer
    x = 819,968.68

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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.