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Finding the Third Proportional to 109,776 and 236,208

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Solution

The third proportional to 109,776 and 236,208 is: 508,255.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,776 : 236,208 = 236,208 : x
  2. Step 2: Convert to fraction form
    109,776/236,208 = 236,208/x
  3. Step 3: Cross multiply
    109,776x = 236,208 × 236,208
  4. Step 4: Simplify right side
    109,776x = 55,794,219,264
  5. Step 5: Solve for x
    x = 55,794,219,264/109,776
  6. Step 6: Final answer
    x = 508,255.17

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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.