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Finding the Third Proportional to 146,290 and 196,107

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Solution

The third proportional to 146,290 and 196,107 is: 262,888.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,290 : 196,107 = 196,107 : x
  2. Step 2: Convert to fraction form
    146,290/196,107 = 196,107/x
  3. Step 3: Cross multiply
    146,290x = 196,107 × 196,107
  4. Step 4: Simplify right side
    146,290x = 38,457,955,449
  5. Step 5: Solve for x
    x = 38,457,955,449/146,290
  6. Step 6: Final answer
    x = 262,888.48

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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.