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Finding the Third Proportional to 133,707.38 and 296,939.25

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Solution

The third proportional to 133,707.38 and 296,939.25 is: 659,446.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,707.38 : 296,939.25 = 296,939.25 : x
  2. Step 2: Convert to fraction form
    133,707.38/296,939.25 = 296,939.25/x
  3. Step 3: Cross multiply
    133,707.38x = 296,939.25 × 296,939.25
  4. Step 4: Simplify right side
    133,707.38x = 88,172,918,190.56
  5. Step 5: Solve for x
    x = 88,172,918,190.56/133,707.38
  6. Step 6: Final answer
    x = 659,446.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.