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Finding the Third Proportional to 173,016 and 378,828

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Solution

The third proportional to 173,016 and 378,828 is: 829,464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,016 : 378,828 = 378,828 : x
  2. Step 2: Convert to fraction form
    173,016/378,828 = 378,828/x
  3. Step 3: Cross multiply
    173,016x = 378,828 × 378,828
  4. Step 4: Simplify right side
    173,016x = 143,510,653,584
  5. Step 5: Solve for x
    x = 143,510,653,584/173,016
  6. Step 6: Final answer
    x = 829,464.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.