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Finding the Third Proportional to 140,995 and 305,222

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Solution

The third proportional to 140,995 and 305,222 is: 660,735.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,995 : 305,222 = 305,222 : x
  2. Step 2: Convert to fraction form
    140,995/305,222 = 305,222/x
  3. Step 3: Cross multiply
    140,995x = 305,222 × 305,222
  4. Step 4: Simplify right side
    140,995x = 93,160,469,284
  5. Step 5: Solve for x
    x = 93,160,469,284/140,995
  6. Step 6: Final answer
    x = 660,735.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.