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Finding the Third Proportional to 156,960 and 234,823

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Solution

The third proportional to 156,960 and 234,823 is: 351,311.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,960 : 234,823 = 234,823 : x
  2. Step 2: Convert to fraction form
    156,960/234,823 = 234,823/x
  3. Step 3: Cross multiply
    156,960x = 234,823 × 234,823
  4. Step 4: Simplify right side
    156,960x = 55,141,841,329
  5. Step 5: Solve for x
    x = 55,141,841,329/156,960
  6. Step 6: Final answer
    x = 351,311.43

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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.