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Finding the Third Proportional to 203,745.75 and 322,550.63

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Solution

The third proportional to 203,745.75 and 322,550.63 is: 510,631.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,745.75 : 322,550.63 = 322,550.63 : x
  2. Step 2: Convert to fraction form
    203,745.75/322,550.63 = 322,550.63/x
  3. Step 3: Cross multiply
    203,745.75x = 322,550.63 × 322,550.63
  4. Step 4: Simplify right side
    203,745.75x = 104,038,905,687.89
  5. Step 5: Solve for x
    x = 104,038,905,687.89/203,745.75
  6. Step 6: Final answer
    x = 510,631.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.