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Finding the Third Proportional to 146,286 and 196,101

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Solution

The third proportional to 146,286 and 196,101 is: 262,879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,286 : 196,101 = 196,101 : x
  2. Step 2: Convert to fraction form
    146,286/196,101 = 196,101/x
  3. Step 3: Cross multiply
    146,286x = 196,101 × 196,101
  4. Step 4: Simplify right side
    146,286x = 38,455,602,201
  5. Step 5: Solve for x
    x = 38,455,602,201/146,286
  6. Step 6: Final answer
    x = 262,879.58

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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.