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Finding the Third Proportional to 174,078 and 376,425

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Solution

The third proportional to 174,078 and 376,425 is: 813,978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,078 : 376,425 = 376,425 : x
  2. Step 2: Convert to fraction form
    174,078/376,425 = 376,425/x
  3. Step 3: Cross multiply
    174,078x = 376,425 × 376,425
  4. Step 4: Simplify right side
    174,078x = 141,695,780,625
  5. Step 5: Solve for x
    x = 141,695,780,625/174,078
  6. Step 6: Final answer
    x = 813,978.68

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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.