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Finding the Third Proportional to 109,208 and 238,621

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Solution

The third proportional to 109,208 and 238,621 is: 521,390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,208 : 238,621 = 238,621 : x
  2. Step 2: Convert to fraction form
    109,208/238,621 = 238,621/x
  3. Step 3: Cross multiply
    109,208x = 238,621 × 238,621
  4. Step 4: Simplify right side
    109,208x = 56,939,981,641
  5. Step 5: Solve for x
    x = 56,939,981,641/109,208
  6. Step 6: Final answer
    x = 521,390.21

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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.