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Finding the Third Proportional to 109,340 and 236,815

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Solution

The third proportional to 109,340 and 236,815 is: 512,907.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,340 : 236,815 = 236,815 : x
  2. Step 2: Convert to fraction form
    109,340/236,815 = 236,815/x
  3. Step 3: Cross multiply
    109,340x = 236,815 × 236,815
  4. Step 4: Simplify right side
    109,340x = 56,081,344,225
  5. Step 5: Solve for x
    x = 56,081,344,225/109,340
  6. Step 6: Final answer
    x = 512,907.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.