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Finding the Third Proportional to 119,091.75 and 247,984.50

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Solution

The third proportional to 119,091.75 and 247,984.50 is: 516,377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,091.75 : 247,984.50 = 247,984.50 : x
  2. Step 2: Convert to fraction form
    119,091.75/247,984.50 = 247,984.50/x
  3. Step 3: Cross multiply
    119,091.75x = 247,984.50 × 247,984.50
  4. Step 4: Simplify right side
    119,091.75x = 61,496,312,240.25
  5. Step 5: Solve for x
    x = 61,496,312,240.25/119,091.75
  6. Step 6: Final answer
    x = 516,377.60

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Why These Related Problems?

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