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Finding the Third Proportional to 156,721 and 236,222

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Solution

The third proportional to 156,721 and 236,222 is: 356,052.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,721 : 236,222 = 236,222 : x
  2. Step 2: Convert to fraction form
    156,721/236,222 = 236,222/x
  3. Step 3: Cross multiply
    156,721x = 236,222 × 236,222
  4. Step 4: Simplify right side
    156,721x = 55,800,833,284
  5. Step 5: Solve for x
    x = 55,800,833,284/156,721
  6. Step 6: Final answer
    x = 356,052.05

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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.