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Finding the Third Proportional to 192,539.94 and 429,351.06

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Solution

The third proportional to 192,539.94 and 429,351.06 is: 957,423.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,539.94 : 429,351.06 = 429,351.06 : x
  2. Step 2: Convert to fraction form
    192,539.94/429,351.06 = 429,351.06/x
  3. Step 3: Cross multiply
    192,539.94x = 429,351.06 × 429,351.06
  4. Step 4: Simplify right side
    192,539.94x = 184,342,334,869.88
  5. Step 5: Solve for x
    x = 184,342,334,869.88/192,539.94
  6. Step 6: Final answer
    x = 957,423.88

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.