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Finding the Third Proportional to 176,863.50 and 381,737.81

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Solution

The third proportional to 176,863.50 and 381,737.81 is: 823,933.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,863.50 : 381,737.81 = 381,737.81 : x
  2. Step 2: Convert to fraction form
    176,863.50/381,737.81 = 381,737.81/x
  3. Step 3: Cross multiply
    176,863.50x = 381,737.81 × 381,737.81
  4. Step 4: Simplify right side
    176,863.50x = 145,723,757,492.29
  5. Step 5: Solve for x
    x = 145,723,757,492.29/176,863.50
  6. Step 6: Final answer
    x = 823,933.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.