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Finding the Third Proportional to 303,165.50 and 505,244.50

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Solution

The third proportional to 303,165.50 and 505,244.50 is: 842,021.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,165.50 : 505,244.50 = 505,244.50 : x
  2. Step 2: Convert to fraction form
    303,165.50/505,244.50 = 505,244.50/x
  3. Step 3: Cross multiply
    303,165.50x = 505,244.50 × 505,244.50
  4. Step 4: Simplify right side
    303,165.50x = 255,272,004,780.25
  5. Step 5: Solve for x
    x = 255,272,004,780.25/303,165.50
  6. Step 6: Final answer
    x = 842,021.95

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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.