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Finding the Third Proportional to 196,554.94 and 429,912.56

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Solution

The third proportional to 196,554.94 and 429,912.56 is: 940,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,554.94 : 429,912.56 = 429,912.56 : x
  2. Step 2: Convert to fraction form
    196,554.94/429,912.56 = 429,912.56/x
  3. Step 3: Cross multiply
    196,554.94x = 429,912.56 × 429,912.56
  4. Step 4: Simplify right side
    196,554.94x = 184,824,811,395.32
  5. Step 5: Solve for x
    x = 184,824,811,395.32/196,554.94
  6. Step 6: Final answer
    x = 940,321.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.