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Finding the Third Proportional to 156,969 and 234,826

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Solution

The third proportional to 156,969 and 234,826 is: 351,300.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,969 : 234,826 = 234,826 : x
  2. Step 2: Convert to fraction form
    156,969/234,826 = 234,826/x
  3. Step 3: Cross multiply
    156,969x = 234,826 × 234,826
  4. Step 4: Simplify right side
    156,969x = 55,143,250,276
  5. Step 5: Solve for x
    x = 55,143,250,276/156,969
  6. Step 6: Final answer
    x = 351,300.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.