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Finding the Third Proportional to 236,353.50 and 505,932

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Solution

The third proportional to 236,353.50 and 505,932 is: 1,082,984.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,353.50 : 505,932 = 505,932 : x
  2. Step 2: Convert to fraction form
    236,353.50/505,932 = 505,932/x
  3. Step 3: Cross multiply
    236,353.50x = 505,932 × 505,932
  4. Step 4: Simplify right side
    236,353.50x = 255,967,188,624
  5. Step 5: Solve for x
    x = 255,967,188,624/236,353.50
  6. Step 6: Final answer
    x = 1,082,984.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.