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Finding the Third Proportional to 172,944 and 378,692

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Solution

The third proportional to 172,944 and 378,692 is: 829,214.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,944 : 378,692 = 378,692 : x
  2. Step 2: Convert to fraction form
    172,944/378,692 = 378,692/x
  3. Step 3: Cross multiply
    172,944x = 378,692 × 378,692
  4. Step 4: Simplify right side
    172,944x = 143,407,630,864
  5. Step 5: Solve for x
    x = 143,407,630,864/172,944
  6. Step 6: Final answer
    x = 829,214.26

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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.