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Finding the Third Proportional to 164,038 and 267,856

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Solution

The third proportional to 164,038 and 267,856 is: 437,379.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,038 : 267,856 = 267,856 : x
  2. Step 2: Convert to fraction form
    164,038/267,856 = 267,856/x
  3. Step 3: Cross multiply
    164,038x = 267,856 × 267,856
  4. Step 4: Simplify right side
    164,038x = 71,746,836,736
  5. Step 5: Solve for x
    x = 71,746,836,736/164,038
  6. Step 6: Final answer
    x = 437,379.37

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.