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Finding the Third Proportional to 191,264 and 275,088

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Solution

The third proportional to 191,264 and 275,088 is: 395,648.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,264 : 275,088 = 275,088 : x
  2. Step 2: Convert to fraction form
    191,264/275,088 = 275,088/x
  3. Step 3: Cross multiply
    191,264x = 275,088 × 275,088
  4. Step 4: Simplify right side
    191,264x = 75,673,407,744
  5. Step 5: Solve for x
    x = 75,673,407,744/191,264
  6. Step 6: Final answer
    x = 395,648.99

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.