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Finding the Third Proportional to 252,238 and 376,170

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Solution

The third proportional to 252,238 and 376,170 is: 560,993.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,238 : 376,170 = 376,170 : x
  2. Step 2: Convert to fraction form
    252,238/376,170 = 376,170/x
  3. Step 3: Cross multiply
    252,238x = 376,170 × 376,170
  4. Step 4: Simplify right side
    252,238x = 141,503,868,900
  5. Step 5: Solve for x
    x = 141,503,868,900/252,238
  6. Step 6: Final answer
    x = 560,993.46

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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.