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Finding the Third Proportional to 144,963 and 221,194

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Solution

The third proportional to 144,963 and 221,194 is: 337,512.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,963 : 221,194 = 221,194 : x
  2. Step 2: Convert to fraction form
    144,963/221,194 = 221,194/x
  3. Step 3: Cross multiply
    144,963x = 221,194 × 221,194
  4. Step 4: Simplify right side
    144,963x = 48,926,785,636
  5. Step 5: Solve for x
    x = 48,926,785,636/144,963
  6. Step 6: Final answer
    x = 337,512.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.