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Finding the Third Proportional to 195,148 and 301,266

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Solution

The third proportional to 195,148 and 301,266 is: 465,089.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,148 : 301,266 = 301,266 : x
  2. Step 2: Convert to fraction form
    195,148/301,266 = 301,266/x
  3. Step 3: Cross multiply
    195,148x = 301,266 × 301,266
  4. Step 4: Simplify right side
    195,148x = 90,761,202,756
  5. Step 5: Solve for x
    x = 90,761,202,756/195,148
  6. Step 6: Final answer
    x = 465,089.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.