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Finding the Third Proportional to 237,872 and 368,075

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Solution

The third proportional to 237,872 and 368,075 is: 569,546.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,872 : 368,075 = 368,075 : x
  2. Step 2: Convert to fraction form
    237,872/368,075 = 368,075/x
  3. Step 3: Cross multiply
    237,872x = 368,075 × 368,075
  4. Step 4: Simplify right side
    237,872x = 135,479,205,625
  5. Step 5: Solve for x
    x = 135,479,205,625/237,872
  6. Step 6: Final answer
    x = 569,546.67

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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.