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Finding the Third Proportional to 192,807.75 and 415,214.25

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Solution

The third proportional to 192,807.75 and 415,214.25 is: 894,169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,807.75 : 415,214.25 = 415,214.25 : x
  2. Step 2: Convert to fraction form
    192,807.75/415,214.25 = 415,214.25/x
  3. Step 3: Cross multiply
    192,807.75x = 415,214.25 × 415,214.25
  4. Step 4: Simplify right side
    192,807.75x = 172,402,873,403.06
  5. Step 5: Solve for x
    x = 172,402,873,403.06/192,807.75
  6. Step 6: Final answer
    x = 894,169.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.