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Finding the Third Proportional to 152,075 and 226,867

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Solution

The third proportional to 152,075 and 226,867 is: 338,442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,075 : 226,867 = 226,867 : x
  2. Step 2: Convert to fraction form
    152,075/226,867 = 226,867/x
  3. Step 3: Cross multiply
    152,075x = 226,867 × 226,867
  4. Step 4: Simplify right side
    152,075x = 51,468,635,689
  5. Step 5: Solve for x
    x = 51,468,635,689/152,075
  6. Step 6: Final answer
    x = 338,442.45

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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.