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Finding the Third Proportional to 109,192 and 238,148

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Solution

The third proportional to 109,192 and 238,148 is: 519,401.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,192 : 238,148 = 238,148 : x
  2. Step 2: Convert to fraction form
    109,192/238,148 = 238,148/x
  3. Step 3: Cross multiply
    109,192x = 238,148 × 238,148
  4. Step 4: Simplify right side
    109,192x = 56,714,469,904
  5. Step 5: Solve for x
    x = 56,714,469,904/109,192
  6. Step 6: Final answer
    x = 519,401.33

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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.