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Finding the Third Proportional to 140,670 and 301,738.50

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Solution

The third proportional to 140,670 and 301,738.50 is: 647,231.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,670 : 301,738.50 = 301,738.50 : x
  2. Step 2: Convert to fraction form
    140,670/301,738.50 = 301,738.50/x
  3. Step 3: Cross multiply
    140,670x = 301,738.50 × 301,738.50
  4. Step 4: Simplify right side
    140,670x = 91,046,122,382.25
  5. Step 5: Solve for x
    x = 91,046,122,382.25/140,670
  6. Step 6: Final answer
    x = 647,231.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.