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Finding the Third Proportional to 149,425 and 319,995

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Solution

The third proportional to 149,425 and 319,995 is: 685,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,425 : 319,995 = 319,995 : x
  2. Step 2: Convert to fraction form
    149,425/319,995 = 319,995/x
  3. Step 3: Cross multiply
    149,425x = 319,995 × 319,995
  4. Step 4: Simplify right side
    149,425x = 102,396,800,025
  5. Step 5: Solve for x
    x = 102,396,800,025/149,425
  6. Step 6: Final answer
    x = 685,272.21

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.