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Finding the Third Proportional to 177,920 and 376,472

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Solution

The third proportional to 177,920 and 376,472 is: 796,600.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,920 : 376,472 = 376,472 : x
  2. Step 2: Convert to fraction form
    177,920/376,472 = 376,472/x
  3. Step 3: Cross multiply
    177,920x = 376,472 × 376,472
  4. Step 4: Simplify right side
    177,920x = 141,731,166,784
  5. Step 5: Solve for x
    x = 141,731,166,784/177,920
  6. Step 6: Final answer
    x = 796,600.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.