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Finding the Third Proportional to 126,482.75 and 269,351.50

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Solution

The third proportional to 126,482.75 and 269,351.50 is: 573,597.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,482.75 : 269,351.50 = 269,351.50 : x
  2. Step 2: Convert to fraction form
    126,482.75/269,351.50 = 269,351.50/x
  3. Step 3: Cross multiply
    126,482.75x = 269,351.50 × 269,351.50
  4. Step 4: Simplify right side
    126,482.75x = 72,550,230,552.25
  5. Step 5: Solve for x
    x = 72,550,230,552.25/126,482.75
  6. Step 6: Final answer
    x = 573,597.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.