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Finding the Third Proportional to 173,174 and 378,106

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Solution

The third proportional to 173,174 and 378,106 is: 825,552.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,174 : 378,106 = 378,106 : x
  2. Step 2: Convert to fraction form
    173,174/378,106 = 378,106/x
  3. Step 3: Cross multiply
    173,174x = 378,106 × 378,106
  4. Step 4: Simplify right side
    173,174x = 142,964,147,236
  5. Step 5: Solve for x
    x = 142,964,147,236/173,174
  6. Step 6: Final answer
    x = 825,552.03

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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.