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Finding the Third Proportional to 188,064 and 274,891.50

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Solution

The third proportional to 188,064 and 274,891.50 is: 401,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,064 : 274,891.50 = 274,891.50 : x
  2. Step 2: Convert to fraction form
    188,064/274,891.50 = 274,891.50/x
  3. Step 3: Cross multiply
    188,064x = 274,891.50 × 274,891.50
  4. Step 4: Simplify right side
    188,064x = 75,565,336,772.25
  5. Step 5: Solve for x
    x = 75,565,336,772.25/188,064
  6. Step 6: Final answer
    x = 401,806.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.