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Finding the Third Proportional to 156,954 and 234,814

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Solution

The third proportional to 156,954 and 234,814 is: 351,297.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,954 : 234,814 = 234,814 : x
  2. Step 2: Convert to fraction form
    156,954/234,814 = 234,814/x
  3. Step 3: Cross multiply
    156,954x = 234,814 × 234,814
  4. Step 4: Simplify right side
    156,954x = 55,137,614,596
  5. Step 5: Solve for x
    x = 55,137,614,596/156,954
  6. Step 6: Final answer
    x = 351,297.93

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Why These Related Problems?

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