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Finding the Third Proportional to 149,850 and 318,768.75

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Solution

The third proportional to 149,850 and 318,768.75 is: 678,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,850 : 318,768.75 = 318,768.75 : x
  2. Step 2: Convert to fraction form
    149,850/318,768.75 = 318,768.75/x
  3. Step 3: Cross multiply
    149,850x = 318,768.75 × 318,768.75
  4. Step 4: Simplify right side
    149,850x = 101,613,515,976.56
  5. Step 5: Solve for x
    x = 101,613,515,976.56/149,850
  6. Step 6: Final answer
    x = 678,101.54

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.