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Finding the Third Proportional to 133,206.75 and 278,725.50

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Solution

The third proportional to 133,206.75 and 278,725.50 is: 583,212.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,206.75 : 278,725.50 = 278,725.50 : x
  2. Step 2: Convert to fraction form
    133,206.75/278,725.50 = 278,725.50/x
  3. Step 3: Cross multiply
    133,206.75x = 278,725.50 × 278,725.50
  4. Step 4: Simplify right side
    133,206.75x = 77,687,904,350.25
  5. Step 5: Solve for x
    x = 77,687,904,350.25/133,206.75
  6. Step 6: Final answer
    x = 583,212.97

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.