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Finding the Third Proportional to 109,637 and 236,192

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Solution

The third proportional to 109,637 and 236,192 is: 508,830.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,637 : 236,192 = 236,192 : x
  2. Step 2: Convert to fraction form
    109,637/236,192 = 236,192/x
  3. Step 3: Cross multiply
    109,637x = 236,192 × 236,192
  4. Step 4: Simplify right side
    109,637x = 55,786,660,864
  5. Step 5: Solve for x
    x = 55,786,660,864/109,637
  6. Step 6: Final answer
    x = 508,830.60

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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.