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Finding the Third Proportional to 189,252 and 281,144.25

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Solution

The third proportional to 189,252 and 281,144.25 is: 417,655.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,252 : 281,144.25 = 281,144.25 : x
  2. Step 2: Convert to fraction form
    189,252/281,144.25 = 281,144.25/x
  3. Step 3: Cross multiply
    189,252x = 281,144.25 × 281,144.25
  4. Step 4: Simplify right side
    189,252x = 79,042,089,308.06
  5. Step 5: Solve for x
    x = 79,042,089,308.06/189,252
  6. Step 6: Final answer
    x = 417,655.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.