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Finding the Third Proportional to 154,881 and 318,099.38

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Solution

The third proportional to 154,881 and 318,099.38 is: 653,322.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,881 : 318,099.38 = 318,099.38 : x
  2. Step 2: Convert to fraction form
    154,881/318,099.38 = 318,099.38/x
  3. Step 3: Cross multiply
    154,881x = 318,099.38 × 318,099.38
  4. Step 4: Simplify right side
    154,881x = 101,187,212,375.39
  5. Step 5: Solve for x
    x = 101,187,212,375.39/154,881
  6. Step 6: Final answer
    x = 653,322.31

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.