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Finding the Third Proportional to 156,702 and 235,401

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Solution

The third proportional to 156,702 and 235,401 is: 353,624.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,702 : 235,401 = 235,401 : x
  2. Step 2: Convert to fraction form
    156,702/235,401 = 235,401/x
  3. Step 3: Cross multiply
    156,702x = 235,401 × 235,401
  4. Step 4: Simplify right side
    156,702x = 55,413,630,801
  5. Step 5: Solve for x
    x = 55,413,630,801/156,702
  6. Step 6: Final answer
    x = 353,624.27

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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.