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Finding the Third Proportional to 194,942 and 425,116

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Solution

The third proportional to 194,942 and 425,116 is: 927,063.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,942 : 425,116 = 425,116 : x
  2. Step 2: Convert to fraction form
    194,942/425,116 = 425,116/x
  3. Step 3: Cross multiply
    194,942x = 425,116 × 425,116
  4. Step 4: Simplify right side
    194,942x = 180,723,613,456
  5. Step 5: Solve for x
    x = 180,723,613,456/194,942
  6. Step 6: Final answer
    x = 927,063.50

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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.