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Finding the Third Proportional to 173,353.50 and 378,610.50

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Solution

The third proportional to 173,353.50 and 378,610.50 is: 826,899.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,353.50 : 378,610.50 = 378,610.50 : x
  2. Step 2: Convert to fraction form
    173,353.50/378,610.50 = 378,610.50/x
  3. Step 3: Cross multiply
    173,353.50x = 378,610.50 × 378,610.50
  4. Step 4: Simplify right side
    173,353.50x = 143,345,910,710.25
  5. Step 5: Solve for x
    x = 143,345,910,710.25/173,353.50
  6. Step 6: Final answer
    x = 826,899.43

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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.