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Finding the Third Proportional to 133,255.13 and 296,034.75

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Solution

The third proportional to 133,255.13 and 296,034.75 is: 657,660.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,255.13 : 296,034.75 = 296,034.75 : x
  2. Step 2: Convert to fraction form
    133,255.13/296,034.75 = 296,034.75/x
  3. Step 3: Cross multiply
    133,255.13x = 296,034.75 × 296,034.75
  4. Step 4: Simplify right side
    133,255.13x = 87,636,573,207.56
  5. Step 5: Solve for x
    x = 87,636,573,207.56/133,255.13
  6. Step 6: Final answer
    x = 657,660.06

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