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Finding the Third Proportional to 109,856 and 236,270

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Solution

The third proportional to 109,856 and 236,270 is: 508,151.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,856 : 236,270 = 236,270 : x
  2. Step 2: Convert to fraction form
    109,856/236,270 = 236,270/x
  3. Step 3: Cross multiply
    109,856x = 236,270 × 236,270
  4. Step 4: Simplify right side
    109,856x = 55,823,512,900
  5. Step 5: Solve for x
    x = 55,823,512,900/109,856
  6. Step 6: Final answer
    x = 508,151.70

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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.