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Finding the Third Proportional to 274,160.25 and 408,958

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Solution

The third proportional to 274,160.25 and 408,958 is: 610,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,160.25 : 408,958 = 408,958 : x
  2. Step 2: Convert to fraction form
    274,160.25/408,958 = 408,958/x
  3. Step 3: Cross multiply
    274,160.25x = 408,958 × 408,958
  4. Step 4: Simplify right side
    274,160.25x = 167,246,645,764
  5. Step 5: Solve for x
    x = 167,246,645,764/274,160.25
  6. Step 6: Final answer
    x = 610,032.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.