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Finding the Third Proportional to 234,104 and 505,082

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Solution

The third proportional to 234,104 and 505,082 is: 1,089,720.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,104 : 505,082 = 505,082 : x
  2. Step 2: Convert to fraction form
    234,104/505,082 = 505,082/x
  3. Step 3: Cross multiply
    234,104x = 505,082 × 505,082
  4. Step 4: Simplify right side
    234,104x = 255,107,826,724
  5. Step 5: Solve for x
    x = 255,107,826,724/234,104
  6. Step 6: Final answer
    x = 1,089,720.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.