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Finding the Third Proportional to 172,174 and 263,194

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Solution

The third proportional to 172,174 and 263,194 is: 402,331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,174 : 263,194 = 263,194 : x
  2. Step 2: Convert to fraction form
    172,174/263,194 = 263,194/x
  3. Step 3: Cross multiply
    172,174x = 263,194 × 263,194
  4. Step 4: Simplify right side
    172,174x = 69,271,081,636
  5. Step 5: Solve for x
    x = 69,271,081,636/172,174
  6. Step 6: Final answer
    x = 402,331.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.