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Finding the Third Proportional to 156,872 and 322,084

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Solution

The third proportional to 156,872 and 322,084 is: 661,291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,872 : 322,084 = 322,084 : x
  2. Step 2: Convert to fraction form
    156,872/322,084 = 322,084/x
  3. Step 3: Cross multiply
    156,872x = 322,084 × 322,084
  4. Step 4: Simplify right side
    156,872x = 103,738,103,056
  5. Step 5: Solve for x
    x = 103,738,103,056/156,872
  6. Step 6: Final answer
    x = 661,291.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.