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Finding the Third Proportional to 144,190 and 192,875

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Solution

The third proportional to 144,190 and 192,875 is: 257,998.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,190 : 192,875 = 192,875 : x
  2. Step 2: Convert to fraction form
    144,190/192,875 = 192,875/x
  3. Step 3: Cross multiply
    144,190x = 192,875 × 192,875
  4. Step 4: Simplify right side
    144,190x = 37,200,765,625
  5. Step 5: Solve for x
    x = 37,200,765,625/144,190
  6. Step 6: Final answer
    x = 257,998.24

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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.