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Finding the Third Proportional to 192,063 and 254,862

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Solution

The third proportional to 192,063 and 254,862 is: 338,194.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,063 : 254,862 = 254,862 : x
  2. Step 2: Convert to fraction form
    192,063/254,862 = 254,862/x
  3. Step 3: Cross multiply
    192,063x = 254,862 × 254,862
  4. Step 4: Simplify right side
    192,063x = 64,954,639,044
  5. Step 5: Solve for x
    x = 64,954,639,044/192,063
  6. Step 6: Final answer
    x = 338,194.44

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.