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Finding the Third Proportional to 192,584.50 and 429,425.38

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Solution

The third proportional to 192,584.50 and 429,425.38 is: 957,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,584.50 : 429,425.38 = 429,425.38 : x
  2. Step 2: Convert to fraction form
    192,584.50/429,425.38 = 429,425.38/x
  3. Step 3: Cross multiply
    192,584.50x = 429,425.38 × 429,425.38
  4. Step 4: Simplify right side
    192,584.50x = 184,406,152,693.89
  5. Step 5: Solve for x
    x = 184,406,152,693.89/192,584.50
  6. Step 6: Final answer
    x = 957,533.72

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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.