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Finding the Third Proportional to 156,809 and 236,673

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Solution

The third proportional to 156,809 and 236,673 is: 357,212.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,809 : 236,673 = 236,673 : x
  2. Step 2: Convert to fraction form
    156,809/236,673 = 236,673/x
  3. Step 3: Cross multiply
    156,809x = 236,673 × 236,673
  4. Step 4: Simplify right side
    156,809x = 56,014,108,929
  5. Step 5: Solve for x
    x = 56,014,108,929/156,809
  6. Step 6: Final answer
    x = 357,212.33

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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.