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Finding the Third Proportional to 269,075.25 and 416,610.75

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Solution

The third proportional to 269,075.25 and 416,610.75 is: 645,040.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,075.25 : 416,610.75 = 416,610.75 : x
  2. Step 2: Convert to fraction form
    269,075.25/416,610.75 = 416,610.75/x
  3. Step 3: Cross multiply
    269,075.25x = 416,610.75 × 416,610.75
  4. Step 4: Simplify right side
    269,075.25x = 173,564,517,015.56
  5. Step 5: Solve for x
    x = 173,564,517,015.56/269,075.25
  6. Step 6: Final answer
    x = 645,040.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.