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Finding the Third Proportional to 138,170 and 211,264

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Solution

The third proportional to 138,170 and 211,264 is: 323,025.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,170 : 211,264 = 211,264 : x
  2. Step 2: Convert to fraction form
    138,170/211,264 = 211,264/x
  3. Step 3: Cross multiply
    138,170x = 211,264 × 211,264
  4. Step 4: Simplify right side
    138,170x = 44,632,477,696
  5. Step 5: Solve for x
    x = 44,632,477,696/138,170
  6. Step 6: Final answer
    x = 323,025.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.