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Finding the Third Proportional to 144,192 and 192,878

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Solution

The third proportional to 144,192 and 192,878 is: 258,002.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,192 : 192,878 = 192,878 : x
  2. Step 2: Convert to fraction form
    144,192/192,878 = 192,878/x
  3. Step 3: Cross multiply
    144,192x = 192,878 × 192,878
  4. Step 4: Simplify right side
    144,192x = 37,201,922,884
  5. Step 5: Solve for x
    x = 37,201,922,884/144,192
  6. Step 6: Final answer
    x = 258,002.68

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.