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Finding the Third Proportional to 109,176 and 238,872

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Solution

The third proportional to 109,176 and 238,872 is: 522,640.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,176 : 238,872 = 238,872 : x
  2. Step 2: Convert to fraction form
    109,176/238,872 = 238,872/x
  3. Step 3: Cross multiply
    109,176x = 238,872 × 238,872
  4. Step 4: Simplify right side
    109,176x = 57,059,832,384
  5. Step 5: Solve for x
    x = 57,059,832,384/109,176
  6. Step 6: Final answer
    x = 522,640.80

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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.