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Finding the Third Proportional to 192,538.69 and 429,349.22

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Solution

The third proportional to 192,538.69 and 429,349.22 is: 957,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,538.69 : 429,349.22 = 429,349.22 : x
  2. Step 2: Convert to fraction form
    192,538.69/429,349.22 = 429,349.22/x
  3. Step 3: Cross multiply
    192,538.69x = 429,349.22 × 429,349.22
  4. Step 4: Simplify right side
    192,538.69x = 184,340,751,641.24
  5. Step 5: Solve for x
    x = 184,340,751,641.24/192,538.69
  6. Step 6: Final answer
    x = 957,421.88

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Why These Related Problems?

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