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Finding the Third Proportional to 195,567 and 310,848

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Solution

The third proportional to 195,567 and 310,848 is: 494,083.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,567 : 310,848 = 310,848 : x
  2. Step 2: Convert to fraction form
    195,567/310,848 = 310,848/x
  3. Step 3: Cross multiply
    195,567x = 310,848 × 310,848
  4. Step 4: Simplify right side
    195,567x = 96,626,479,104
  5. Step 5: Solve for x
    x = 96,626,479,104/195,567
  6. Step 6: Final answer
    x = 494,083.76

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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.