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Finding the Third Proportional to 164,040 and 267,858

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Solution

The third proportional to 164,040 and 267,858 is: 437,380.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,040 : 267,858 = 267,858 : x
  2. Step 2: Convert to fraction form
    164,040/267,858 = 267,858/x
  3. Step 3: Cross multiply
    164,040x = 267,858 × 267,858
  4. Step 4: Simplify right side
    164,040x = 71,747,908,164
  5. Step 5: Solve for x
    x = 71,747,908,164/164,040
  6. Step 6: Final answer
    x = 437,380.57

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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.