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Finding the Third Proportional to 177,376 and 377,756

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Solution

The third proportional to 177,376 and 377,756 is: 804,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,376 : 377,756 = 377,756 : x
  2. Step 2: Convert to fraction form
    177,376/377,756 = 377,756/x
  3. Step 3: Cross multiply
    177,376x = 377,756 × 377,756
  4. Step 4: Simplify right side
    177,376x = 142,699,595,536
  5. Step 5: Solve for x
    x = 142,699,595,536/177,376
  6. Step 6: Final answer
    x = 804,503.40

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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.