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Finding the Third Proportional to 199,450.50 and 415,728

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Solution

The third proportional to 199,450.50 and 415,728 is: 866,529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,450.50 : 415,728 = 415,728 : x
  2. Step 2: Convert to fraction form
    199,450.50/415,728 = 415,728/x
  3. Step 3: Cross multiply
    199,450.50x = 415,728 × 415,728
  4. Step 4: Simplify right side
    199,450.50x = 172,829,769,984
  5. Step 5: Solve for x
    x = 172,829,769,984/199,450.50
  6. Step 6: Final answer
    x = 866,529.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.