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Finding the Third Proportional to 107,796 and 236,328

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Solution

The third proportional to 107,796 and 236,328 is: 518,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,796 : 236,328 = 236,328 : x
  2. Step 2: Convert to fraction form
    107,796/236,328 = 236,328/x
  3. Step 3: Cross multiply
    107,796x = 236,328 × 236,328
  4. Step 4: Simplify right side
    107,796x = 55,850,923,584
  5. Step 5: Solve for x
    x = 55,850,923,584/107,796
  6. Step 6: Final answer
    x = 518,116.85

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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.