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Finding the Third Proportional to 168,048 and 257,194.50

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Solution

The third proportional to 168,048 and 257,194.50 is: 393,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,048 : 257,194.50 = 257,194.50 : x
  2. Step 2: Convert to fraction form
    168,048/257,194.50 = 257,194.50/x
  3. Step 3: Cross multiply
    168,048x = 257,194.50 × 257,194.50
  4. Step 4: Simplify right side
    168,048x = 66,149,010,830.25
  5. Step 5: Solve for x
    x = 66,149,010,830.25/168,048
  6. Step 6: Final answer
    x = 393,631.65

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.