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Finding the Third Proportional to 173,495.25 and 378,425.25

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Solution

The third proportional to 173,495.25 and 378,425.25 is: 825,415.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,495.25 : 378,425.25 = 378,425.25 : x
  2. Step 2: Convert to fraction form
    173,495.25/378,425.25 = 378,425.25/x
  3. Step 3: Cross multiply
    173,495.25x = 378,425.25 × 378,425.25
  4. Step 4: Simplify right side
    173,495.25x = 143,205,669,837.56
  5. Step 5: Solve for x
    x = 143,205,669,837.56/173,495.25
  6. Step 6: Final answer
    x = 825,415.51

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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.