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Finding the Third Proportional to 156,861 and 236,754

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Solution

The third proportional to 156,861 and 236,754 is: 357,338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,861 : 236,754 = 236,754 : x
  2. Step 2: Convert to fraction form
    156,861/236,754 = 236,754/x
  3. Step 3: Cross multiply
    156,861x = 236,754 × 236,754
  4. Step 4: Simplify right side
    156,861x = 56,052,456,516
  5. Step 5: Solve for x
    x = 56,052,456,516/156,861
  6. Step 6: Final answer
    x = 357,338.39

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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.