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Finding the Third Proportional to 156,942 and 223,573

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Solution

The third proportional to 156,942 and 223,573 is: 318,492.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,942 : 223,573 = 223,573 : x
  2. Step 2: Convert to fraction form
    156,942/223,573 = 223,573/x
  3. Step 3: Cross multiply
    156,942x = 223,573 × 223,573
  4. Step 4: Simplify right side
    156,942x = 49,984,886,329
  5. Step 5: Solve for x
    x = 49,984,886,329/156,942
  6. Step 6: Final answer
    x = 318,492.73

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.