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Finding the Third Proportional to 188,784.50 and 274,260.50

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Solution

The third proportional to 188,784.50 and 274,260.50 is: 398,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,784.50 : 274,260.50 = 274,260.50 : x
  2. Step 2: Convert to fraction form
    188,784.50/274,260.50 = 274,260.50/x
  3. Step 3: Cross multiply
    188,784.50x = 274,260.50 × 274,260.50
  4. Step 4: Simplify right side
    188,784.50x = 75,218,821,860.25
  5. Step 5: Solve for x
    x = 75,218,821,860.25/188,784.50
  6. Step 6: Final answer
    x = 398,437.49

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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.