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Finding the Third Proportional to 109,882 and 236,324

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Solution

The third proportional to 109,882 and 236,324 is: 508,263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,882 : 236,324 = 236,324 : x
  2. Step 2: Convert to fraction form
    109,882/236,324 = 236,324/x
  3. Step 3: Cross multiply
    109,882x = 236,324 × 236,324
  4. Step 4: Simplify right side
    109,882x = 55,849,032,976
  5. Step 5: Solve for x
    x = 55,849,032,976/109,882
  6. Step 6: Final answer
    x = 508,263.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.