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Finding the Third Proportional to 133,922.25 and 202,611.38

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Solution

The third proportional to 133,922.25 and 202,611.38 is: 306,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,922.25 : 202,611.38 = 202,611.38 : x
  2. Step 2: Convert to fraction form
    133,922.25/202,611.38 = 202,611.38/x
  3. Step 3: Cross multiply
    133,922.25x = 202,611.38 × 202,611.38
  4. Step 4: Simplify right side
    133,922.25x = 41,051,369,279.39
  5. Step 5: Solve for x
    x = 41,051,369,279.39/133,922.25
  6. Step 6: Final answer
    x = 306,531.36

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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.