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Finding the Third Proportional to 138,330 and 212,925

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Solution

The third proportional to 138,330 and 212,925 is: 327,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,330 : 212,925 = 212,925 : x
  2. Step 2: Convert to fraction form
    138,330/212,925 = 212,925/x
  3. Step 3: Cross multiply
    138,330x = 212,925 × 212,925
  4. Step 4: Simplify right side
    138,330x = 45,337,055,625
  5. Step 5: Solve for x
    x = 45,337,055,625/138,330
  6. Step 6: Final answer
    x = 327,745.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.