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Finding the Third Proportional to 203,653.50 and 315,021

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Solution

The third proportional to 203,653.50 and 315,021 is: 487,289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,653.50 : 315,021 = 315,021 : x
  2. Step 2: Convert to fraction form
    203,653.50/315,021 = 315,021/x
  3. Step 3: Cross multiply
    203,653.50x = 315,021 × 315,021
  4. Step 4: Simplify right side
    203,653.50x = 99,238,230,441
  5. Step 5: Solve for x
    x = 99,238,230,441/203,653.50
  6. Step 6: Final answer
    x = 487,289.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.