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Finding the Third Proportional to 192,541.43 and 429,354.42

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Solution

The third proportional to 192,541.43 and 429,354.42 is: 957,431.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,541.43 : 429,354.42 = 429,354.42 : x
  2. Step 2: Convert to fraction form
    192,541.43/429,354.42 = 429,354.42/x
  3. Step 3: Cross multiply
    192,541.43x = 429,354.42 × 429,354.42
  4. Step 4: Simplify right side
    192,541.43x = 184,345,219,583.62
  5. Step 5: Solve for x
    x = 184,345,219,583.62/192,541.43
  6. Step 6: Final answer
    x = 957,431.45

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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.