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Finding the Third Proportional to 156,796 and 236,652

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Solution

The third proportional to 156,796 and 236,652 is: 357,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,796 : 236,652 = 236,652 : x
  2. Step 2: Convert to fraction form
    156,796/236,652 = 236,652/x
  3. Step 3: Cross multiply
    156,796x = 236,652 × 236,652
  4. Step 4: Simplify right side
    156,796x = 56,004,169,104
  5. Step 5: Solve for x
    x = 56,004,169,104/156,796
  6. Step 6: Final answer
    x = 357,178.56

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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.