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Finding the Third Proportional to 109,790 and 236,224

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Solution

The third proportional to 109,790 and 236,224 is: 508,259.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,790 : 236,224 = 236,224 : x
  2. Step 2: Convert to fraction form
    109,790/236,224 = 236,224/x
  3. Step 3: Cross multiply
    109,790x = 236,224 × 236,224
  4. Step 4: Simplify right side
    109,790x = 55,801,778,176
  5. Step 5: Solve for x
    x = 55,801,778,176/109,790
  6. Step 6: Final answer
    x = 508,259.21

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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.