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Finding the Third Proportional to 192,851 and 415,303

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Solution

The third proportional to 192,851 and 415,303 is: 894,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,851 : 415,303 = 415,303 : x
  2. Step 2: Convert to fraction form
    192,851/415,303 = 415,303/x
  3. Step 3: Cross multiply
    192,851x = 415,303 × 415,303
  4. Step 4: Simplify right side
    192,851x = 172,476,581,809
  5. Step 5: Solve for x
    x = 172,476,581,809/192,851
  6. Step 6: Final answer
    x = 894,351.50

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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.