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Finding the Third Proportional to 110,916 and 237,384

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Solution

The third proportional to 110,916 and 237,384 is: 508,052.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,916 : 237,384 = 237,384 : x
  2. Step 2: Convert to fraction form
    110,916/237,384 = 237,384/x
  3. Step 3: Cross multiply
    110,916x = 237,384 × 237,384
  4. Step 4: Simplify right side
    110,916x = 56,351,163,456
  5. Step 5: Solve for x
    x = 56,351,163,456/110,916
  6. Step 6: Final answer
    x = 508,052.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.