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Finding the Third Proportional to 133,945.75 and 202,640.63

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Solution

The third proportional to 133,945.75 and 202,640.63 is: 306,566.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,945.75 : 202,640.63 = 202,640.63 : x
  2. Step 2: Convert to fraction form
    133,945.75/202,640.63 = 202,640.63/x
  3. Step 3: Cross multiply
    133,945.75x = 202,640.63 × 202,640.63
  4. Step 4: Simplify right side
    133,945.75x = 41,063,222,900.39
  5. Step 5: Solve for x
    x = 41,063,222,900.39/133,945.75
  6. Step 6: Final answer
    x = 306,566.08

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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.