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Finding the Third Proportional to 192,507 and 422,214

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Solution

The third proportional to 192,507 and 422,214 is: 926,016.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,507 : 422,214 = 422,214 : x
  2. Step 2: Convert to fraction form
    192,507/422,214 = 422,214/x
  3. Step 3: Cross multiply
    192,507x = 422,214 × 422,214
  4. Step 4: Simplify right side
    192,507x = 178,264,661,796
  5. Step 5: Solve for x
    x = 178,264,661,796/192,507
  6. Step 6: Final answer
    x = 926,016.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.