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Finding the Third Proportional to 176,914 and 373,796

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Solution

The third proportional to 176,914 and 373,796 is: 789,781.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,914 : 373,796 = 373,796 : x
  2. Step 2: Convert to fraction form
    176,914/373,796 = 373,796/x
  3. Step 3: Cross multiply
    176,914x = 373,796 × 373,796
  4. Step 4: Simplify right side
    176,914x = 139,723,449,616
  5. Step 5: Solve for x
    x = 139,723,449,616/176,914
  6. Step 6: Final answer
    x = 789,781.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.