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Finding the Third Proportional to 177,472.50 and 387,696

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Solution

The third proportional to 177,472.50 and 387,696 is: 846,937.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,472.50 : 387,696 = 387,696 : x
  2. Step 2: Convert to fraction form
    177,472.50/387,696 = 387,696/x
  3. Step 3: Cross multiply
    177,472.50x = 387,696 × 387,696
  4. Step 4: Simplify right side
    177,472.50x = 150,308,188,416
  5. Step 5: Solve for x
    x = 150,308,188,416/177,472.50
  6. Step 6: Final answer
    x = 846,937.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.