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Finding the Third Proportional to 133,911 and 202,236

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Solution

The third proportional to 133,911 and 202,236 is: 305,422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,911 : 202,236 = 202,236 : x
  2. Step 2: Convert to fraction form
    133,911/202,236 = 202,236/x
  3. Step 3: Cross multiply
    133,911x = 202,236 × 202,236
  4. Step 4: Simplify right side
    133,911x = 40,899,399,696
  5. Step 5: Solve for x
    x = 40,899,399,696/133,911
  6. Step 6: Final answer
    x = 305,422.26

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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.