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Finding the Third Proportional to 173,625 and 378,768

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Solution

The third proportional to 173,625 and 378,768 is: 826,293.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,625 : 378,768 = 378,768 : x
  2. Step 2: Convert to fraction form
    173,625/378,768 = 378,768/x
  3. Step 3: Cross multiply
    173,625x = 378,768 × 378,768
  4. Step 4: Simplify right side
    173,625x = 143,465,197,824
  5. Step 5: Solve for x
    x = 143,465,197,824/173,625
  6. Step 6: Final answer
    x = 826,293.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.