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Finding the Third Proportional to 156,777 and 235,518

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Solution

The third proportional to 156,777 and 235,518 is: 353,806.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,777 : 235,518 = 235,518 : x
  2. Step 2: Convert to fraction form
    156,777/235,518 = 235,518/x
  3. Step 3: Cross multiply
    156,777x = 235,518 × 235,518
  4. Step 4: Simplify right side
    156,777x = 55,468,728,324
  5. Step 5: Solve for x
    x = 55,468,728,324/156,777
  6. Step 6: Final answer
    x = 353,806.54

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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.