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Finding the Third Proportional to 173,420.44 and 378,354.09

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Solution

The third proportional to 173,420.44 and 378,354.09 is: 825,461.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,420.44 : 378,354.09 = 378,354.09 : x
  2. Step 2: Convert to fraction form
    173,420.44/378,354.09 = 378,354.09/x
  3. Step 3: Cross multiply
    173,420.44x = 378,354.09 × 378,354.09
  4. Step 4: Simplify right side
    173,420.44x = 143,151,820,257.38
  5. Step 5: Solve for x
    x = 143,151,820,257.38/173,420.44
  6. Step 6: Final answer
    x = 825,461.07

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