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Finding the Third Proportional to 133,034.06 and 200,934

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Solution

The third proportional to 133,034.06 and 200,934 is: 303,489.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,034.06 : 200,934 = 200,934 : x
  2. Step 2: Convert to fraction form
    133,034.06/200,934 = 200,934/x
  3. Step 3: Cross multiply
    133,034.06x = 200,934 × 200,934
  4. Step 4: Simplify right side
    133,034.06x = 40,374,472,356
  5. Step 5: Solve for x
    x = 40,374,472,356/133,034.06
  6. Step 6: Final answer
    x = 303,489.73

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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.