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Finding the Third Proportional to 109,192 and 238,752

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Solution

The third proportional to 109,192 and 238,752 is: 522,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,192 : 238,752 = 238,752 : x
  2. Step 2: Convert to fraction form
    109,192/238,752 = 238,752/x
  3. Step 3: Cross multiply
    109,192x = 238,752 × 238,752
  4. Step 4: Simplify right side
    109,192x = 57,002,517,504
  5. Step 5: Solve for x
    x = 57,002,517,504/109,192
  6. Step 6: Final answer
    x = 522,039.32

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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.