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Finding the Third Proportional to 158,075 and 281,062

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Solution

The third proportional to 158,075 and 281,062 is: 499,736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,075 : 281,062 = 281,062 : x
  2. Step 2: Convert to fraction form
    158,075/281,062 = 281,062/x
  3. Step 3: Cross multiply
    158,075x = 281,062 × 281,062
  4. Step 4: Simplify right side
    158,075x = 78,995,847,844
  5. Step 5: Solve for x
    x = 78,995,847,844/158,075
  6. Step 6: Final answer
    x = 499,736.50

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.