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Finding the Third Proportional to 189,173 and 387,094

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Solution

The third proportional to 189,173 and 387,094 is: 792,088.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,173 : 387,094 = 387,094 : x
  2. Step 2: Convert to fraction form
    189,173/387,094 = 387,094/x
  3. Step 3: Cross multiply
    189,173x = 387,094 × 387,094
  4. Step 4: Simplify right side
    189,173x = 149,841,764,836
  5. Step 5: Solve for x
    x = 149,841,764,836/189,173
  6. Step 6: Final answer
    x = 792,088.54

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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.