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Finding the Third Proportional to 191,985 and 270,238.50

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Solution

The third proportional to 191,985 and 270,238.50 is: 380,388.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,985 : 270,238.50 = 270,238.50 : x
  2. Step 2: Convert to fraction form
    191,985/270,238.50 = 270,238.50/x
  3. Step 3: Cross multiply
    191,985x = 270,238.50 × 270,238.50
  4. Step 4: Simplify right side
    191,985x = 73,028,846,882.25
  5. Step 5: Solve for x
    x = 73,028,846,882.25/191,985
  6. Step 6: Final answer
    x = 380,388.30

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.