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Finding the Third Proportional to 173,861 and 380,942

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Solution

The third proportional to 173,861 and 380,942 is: 834,671.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,861 : 380,942 = 380,942 : x
  2. Step 2: Convert to fraction form
    173,861/380,942 = 380,942/x
  3. Step 3: Cross multiply
    173,861x = 380,942 × 380,942
  4. Step 4: Simplify right side
    173,861x = 145,116,807,364
  5. Step 5: Solve for x
    x = 145,116,807,364/173,861
  6. Step 6: Final answer
    x = 834,671.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.