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Finding the Third Proportional to 217,633.50 and 308,225.25

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Solution

The third proportional to 217,633.50 and 308,225.25 is: 436,526.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,633.50 : 308,225.25 = 308,225.25 : x
  2. Step 2: Convert to fraction form
    217,633.50/308,225.25 = 308,225.25/x
  3. Step 3: Cross multiply
    217,633.50x = 308,225.25 × 308,225.25
  4. Step 4: Simplify right side
    217,633.50x = 95,002,804,737.56
  5. Step 5: Solve for x
    x = 95,002,804,737.56/217,633.50
  6. Step 6: Final answer
    x = 436,526.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.