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Finding the Third Proportional to 192,044.25 and 276,646.22

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Solution

The third proportional to 192,044.25 and 276,646.22 is: 398,518.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,044.25 : 276,646.22 = 276,646.22 : x
  2. Step 2: Convert to fraction form
    192,044.25/276,646.22 = 276,646.22/x
  3. Step 3: Cross multiply
    192,044.25x = 276,646.22 × 276,646.22
  4. Step 4: Simplify right side
    192,044.25x = 76,533,130,348.67
  5. Step 5: Solve for x
    x = 76,533,130,348.67/192,044.25
  6. Step 6: Final answer
    x = 398,518.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.