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Finding the Third Proportional to 188,783.50 and 274,259

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Solution

The third proportional to 188,783.50 and 274,259 is: 398,435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,783.50 : 274,259 = 274,259 : x
  2. Step 2: Convert to fraction form
    188,783.50/274,259 = 274,259/x
  3. Step 3: Cross multiply
    188,783.50x = 274,259 × 274,259
  4. Step 4: Simplify right side
    188,783.50x = 75,217,999,081
  5. Step 5: Solve for x
    x = 75,217,999,081/188,783.50
  6. Step 6: Final answer
    x = 398,435.24

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.