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Finding the Third Proportional to 189,112 and 387,968

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Solution

The third proportional to 189,112 and 387,968 is: 795,926.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,112 : 387,968 = 387,968 : x
  2. Step 2: Convert to fraction form
    189,112/387,968 = 387,968/x
  3. Step 3: Cross multiply
    189,112x = 387,968 × 387,968
  4. Step 4: Simplify right side
    189,112x = 150,519,169,024
  5. Step 5: Solve for x
    x = 150,519,169,024/189,112
  6. Step 6: Final answer
    x = 795,926.06

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Why These Related Problems?

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