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Finding the Third Proportional to 156,108 and 223,074

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Solution

The third proportional to 156,108 and 223,074 is: 318,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,108 : 223,074 = 223,074 : x
  2. Step 2: Convert to fraction form
    156,108/223,074 = 223,074/x
  3. Step 3: Cross multiply
    156,108x = 223,074 × 223,074
  4. Step 4: Simplify right side
    156,108x = 49,762,009,476
  5. Step 5: Solve for x
    x = 49,762,009,476/156,108
  6. Step 6: Final answer
    x = 318,766.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.