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Finding the Third Proportional to 171,075 and 250,112.25

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Solution

The third proportional to 171,075 and 250,112.25 is: 365,664.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,075 : 250,112.25 = 250,112.25 : x
  2. Step 2: Convert to fraction form
    171,075/250,112.25 = 250,112.25/x
  3. Step 3: Cross multiply
    171,075x = 250,112.25 × 250,112.25
  4. Step 4: Simplify right side
    171,075x = 62,556,137,600.06
  5. Step 5: Solve for x
    x = 62,556,137,600.06/171,075
  6. Step 6: Final answer
    x = 365,664.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.