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Finding the Third Proportional to 271,758 and 369,040.25

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Solution

The third proportional to 271,758 and 369,040.25 is: 501,147.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,758 : 369,040.25 = 369,040.25 : x
  2. Step 2: Convert to fraction form
    271,758/369,040.25 = 369,040.25/x
  3. Step 3: Cross multiply
    271,758x = 369,040.25 × 369,040.25
  4. Step 4: Simplify right side
    271,758x = 136,190,706,120.06
  5. Step 5: Solve for x
    x = 136,190,706,120.06/271,758
  6. Step 6: Final answer
    x = 501,147.00

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.