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Finding the Third Proportional to 156,736 and 235,451

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Solution

The third proportional to 156,736 and 235,451 is: 353,697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,736 : 235,451 = 235,451 : x
  2. Step 2: Convert to fraction form
    156,736/235,451 = 235,451/x
  3. Step 3: Cross multiply
    156,736x = 235,451 × 235,451
  4. Step 4: Simplify right side
    156,736x = 55,437,173,401
  5. Step 5: Solve for x
    x = 55,437,173,401/156,736
  6. Step 6: Final answer
    x = 353,697.77

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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.