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Finding the Third Proportional to 109,350 and 236,856

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Solution

The third proportional to 109,350 and 236,856 is: 513,038.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,350 : 236,856 = 236,856 : x
  2. Step 2: Convert to fraction form
    109,350/236,856 = 236,856/x
  3. Step 3: Cross multiply
    109,350x = 236,856 × 236,856
  4. Step 4: Simplify right side
    109,350x = 56,100,764,736
  5. Step 5: Solve for x
    x = 56,100,764,736/109,350
  6. Step 6: Final answer
    x = 513,038.54

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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.