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Finding the Third Proportional to 133,034.44 and 200,934.56

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Solution

The third proportional to 133,034.44 and 200,934.56 is: 303,490.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,034.44 : 200,934.56 = 200,934.56 : x
  2. Step 2: Convert to fraction form
    133,034.44/200,934.56 = 200,934.56/x
  3. Step 3: Cross multiply
    133,034.44x = 200,934.56 × 200,934.56
  4. Step 4: Simplify right side
    133,034.44x = 40,374,698,407.07
  5. Step 5: Solve for x
    x = 40,374,698,407.07/133,034.44
  6. Step 6: Final answer
    x = 303,490.58

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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.