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Finding the Third Proportional to 206,343.56 and 307,611.56

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Solution

The third proportional to 206,343.56 and 307,611.56 is: 458,579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,343.56 : 307,611.56 = 307,611.56 : x
  2. Step 2: Convert to fraction form
    206,343.56/307,611.56 = 307,611.56/x
  3. Step 3: Cross multiply
    206,343.56x = 307,611.56 × 307,611.56
  4. Step 4: Simplify right side
    206,343.56x = 94,624,873,383.69
  5. Step 5: Solve for x
    x = 94,624,873,383.69/206,343.56
  6. Step 6: Final answer
    x = 458,579.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.