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Finding the Third Proportional to 156,826 and 236,699

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Solution

The third proportional to 156,826 and 236,699 is: 357,252.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,826 : 236,699 = 236,699 : x
  2. Step 2: Convert to fraction form
    156,826/236,699 = 236,699/x
  3. Step 3: Cross multiply
    156,826x = 236,699 × 236,699
  4. Step 4: Simplify right side
    156,826x = 56,026,416,601
  5. Step 5: Solve for x
    x = 56,026,416,601/156,826
  6. Step 6: Final answer
    x = 357,252.09

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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.