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Finding the Third Proportional to 177,156 and 377,963

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Solution

The third proportional to 177,156 and 377,963 is: 806,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,156 : 377,963 = 377,963 : x
  2. Step 2: Convert to fraction form
    177,156/377,963 = 377,963/x
  3. Step 3: Cross multiply
    177,156x = 377,963 × 377,963
  4. Step 4: Simplify right side
    177,156x = 142,856,029,369
  5. Step 5: Solve for x
    x = 142,856,029,369/177,156
  6. Step 6: Final answer
    x = 806,385.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.