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Finding the Third Proportional to 195,261.75 and 406,073.25

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Solution

The third proportional to 195,261.75 and 406,073.25 is: 844,484.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,261.75 : 406,073.25 = 406,073.25 : x
  2. Step 2: Convert to fraction form
    195,261.75/406,073.25 = 406,073.25/x
  3. Step 3: Cross multiply
    195,261.75x = 406,073.25 × 406,073.25
  4. Step 4: Simplify right side
    195,261.75x = 164,895,484,365.56
  5. Step 5: Solve for x
    x = 164,895,484,365.56/195,261.75
  6. Step 6: Final answer
    x = 844,484.31

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.