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Finding the Third Proportional to 109,734 and 236,115

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Solution

The third proportional to 109,734 and 236,115 is: 508,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,734 : 236,115 = 236,115 : x
  2. Step 2: Convert to fraction form
    109,734/236,115 = 236,115/x
  3. Step 3: Cross multiply
    109,734x = 236,115 × 236,115
  4. Step 4: Simplify right side
    109,734x = 55,750,293,225
  5. Step 5: Solve for x
    x = 55,750,293,225/109,734
  6. Step 6: Final answer
    x = 508,049.40

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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.