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Finding the Third Proportional to 156,774 and 223,401

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Solution

The third proportional to 156,774 and 223,401 is: 318,343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,774 : 223,401 = 223,401 : x
  2. Step 2: Convert to fraction form
    156,774/223,401 = 223,401/x
  3. Step 3: Cross multiply
    156,774x = 223,401 × 223,401
  4. Step 4: Simplify right side
    156,774x = 49,908,006,801
  5. Step 5: Solve for x
    x = 49,908,006,801/156,774
  6. Step 6: Final answer
    x = 318,343.65

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