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Finding the Third Proportional to 187,648 and 399,696

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Solution

The third proportional to 187,648 and 399,696 is: 851,364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,648 : 399,696 = 399,696 : x
  2. Step 2: Convert to fraction form
    187,648/399,696 = 399,696/x
  3. Step 3: Cross multiply
    187,648x = 399,696 × 399,696
  4. Step 4: Simplify right side
    187,648x = 159,756,892,416
  5. Step 5: Solve for x
    x = 159,756,892,416/187,648
  6. Step 6: Final answer
    x = 851,364.75

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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.