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Finding the Third Proportional to 177,696 and 375,344

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Solution

The third proportional to 177,696 and 375,344 is: 792,832.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,696 : 375,344 = 375,344 : x
  2. Step 2: Convert to fraction form
    177,696/375,344 = 375,344/x
  3. Step 3: Cross multiply
    177,696x = 375,344 × 375,344
  4. Step 4: Simplify right side
    177,696x = 140,883,118,336
  5. Step 5: Solve for x
    x = 140,883,118,336/177,696
  6. Step 6: Final answer
    x = 792,832.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.