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Finding the Third Proportional to 195,012 and 291,241

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Solution

The third proportional to 195,012 and 291,241 is: 434,954.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,012 : 291,241 = 291,241 : x
  2. Step 2: Convert to fraction form
    195,012/291,241 = 291,241/x
  3. Step 3: Cross multiply
    195,012x = 291,241 × 291,241
  4. Step 4: Simplify right side
    195,012x = 84,821,320,081
  5. Step 5: Solve for x
    x = 84,821,320,081/195,012
  6. Step 6: Final answer
    x = 434,954.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.