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Finding the Third Proportional to 303,159 and 505,234

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Solution

The third proportional to 303,159 and 505,234 is: 842,005.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,159 : 505,234 = 505,234 : x
  2. Step 2: Convert to fraction form
    303,159/505,234 = 505,234/x
  3. Step 3: Cross multiply
    303,159x = 505,234 × 505,234
  4. Step 4: Simplify right side
    303,159x = 255,261,394,756
  5. Step 5: Solve for x
    x = 255,261,394,756/303,159
  6. Step 6: Final answer
    x = 842,005.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.