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Finding the Third Proportional to 133,925 and 202,251

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Solution

The third proportional to 133,925 and 202,251 is: 305,435.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,925 : 202,251 = 202,251 : x
  2. Step 2: Convert to fraction form
    133,925/202,251 = 202,251/x
  3. Step 3: Cross multiply
    133,925x = 202,251 × 202,251
  4. Step 4: Simplify right side
    133,925x = 40,905,467,001
  5. Step 5: Solve for x
    x = 40,905,467,001/133,925
  6. Step 6: Final answer
    x = 305,435.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.