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Finding the Third Proportional to 98,194 and 155,735

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Solution

The third proportional to 98,194 and 155,735 is: 246,994.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,194 : 155,735 = 155,735 : x
  2. Step 2: Convert to fraction form
    98,194/155,735 = 155,735/x
  3. Step 3: Cross multiply
    98,194x = 155,735 × 155,735
  4. Step 4: Simplify right side
    98,194x = 24,253,390,225
  5. Step 5: Solve for x
    x = 24,253,390,225/98,194
  6. Step 6: Final answer
    x = 246,994.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.