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Finding the Third Proportional to 192,538.97 and 429,349.08

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Solution

The third proportional to 192,538.97 and 429,349.08 is: 957,419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,538.97 : 429,349.08 = 429,349.08 : x
  2. Step 2: Convert to fraction form
    192,538.97/429,349.08 = 429,349.08/x
  3. Step 3: Cross multiply
    192,538.97x = 429,349.08 × 429,349.08
  4. Step 4: Simplify right side
    192,538.97x = 184,340,630,886.79
  5. Step 5: Solve for x
    x = 184,340,630,886.79/192,538.97
  6. Step 6: Final answer
    x = 957,419.85

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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.