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Finding the Third Proportional to 133,672.88 and 278,364.75

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Solution

The third proportional to 133,672.88 and 278,364.75 is: 579,675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,672.88 : 278,364.75 = 278,364.75 : x
  2. Step 2: Convert to fraction form
    133,672.88/278,364.75 = 278,364.75/x
  3. Step 3: Cross multiply
    133,672.88x = 278,364.75 × 278,364.75
  4. Step 4: Simplify right side
    133,672.88x = 77,486,934,042.56
  5. Step 5: Solve for x
    x = 77,486,934,042.56/133,672.88
  6. Step 6: Final answer
    x = 579,675.82

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.