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Finding the Third Proportional to 144,508 and 191,796

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Solution

The third proportional to 144,508 and 191,796 is: 254,558.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,508 : 191,796 = 191,796 : x
  2. Step 2: Convert to fraction form
    144,508/191,796 = 191,796/x
  3. Step 3: Cross multiply
    144,508x = 191,796 × 191,796
  4. Step 4: Simplify right side
    144,508x = 36,785,705,616
  5. Step 5: Solve for x
    x = 36,785,705,616/144,508
  6. Step 6: Final answer
    x = 254,558.26

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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.