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Finding the Third Proportional to 156,727 and 236,231

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Solution

The third proportional to 156,727 and 236,231 is: 356,065.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,727 : 236,231 = 236,231 : x
  2. Step 2: Convert to fraction form
    156,727/236,231 = 236,231/x
  3. Step 3: Cross multiply
    156,727x = 236,231 × 236,231
  4. Step 4: Simplify right side
    156,727x = 55,805,085,361
  5. Step 5: Solve for x
    x = 55,805,085,361/156,727
  6. Step 6: Final answer
    x = 356,065.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.