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Finding the Third Proportional to 156,974 and 234,846

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Solution

The third proportional to 156,974 and 234,846 is: 351,348.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,974 : 234,846 = 234,846 : x
  2. Step 2: Convert to fraction form
    156,974/234,846 = 234,846/x
  3. Step 3: Cross multiply
    156,974x = 234,846 × 234,846
  4. Step 4: Simplify right side
    156,974x = 55,152,643,716
  5. Step 5: Solve for x
    x = 55,152,643,716/156,974
  6. Step 6: Final answer
    x = 351,348.91

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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.