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Finding the Third Proportional to 253,313.44 and 395,306.16

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Solution

The third proportional to 253,313.44 and 395,306.16 is: 616,891.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,313.44 : 395,306.16 = 395,306.16 : x
  2. Step 2: Convert to fraction form
    253,313.44/395,306.16 = 395,306.16/x
  3. Step 3: Cross multiply
    253,313.44x = 395,306.16 × 395,306.16
  4. Step 4: Simplify right side
    253,313.44x = 156,266,957,169.15
  5. Step 5: Solve for x
    x = 156,266,957,169.15/253,313.44
  6. Step 6: Final answer
    x = 616,891.70

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.