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Finding the Third Proportional to 148,296 and 349,921

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Solution

The third proportional to 148,296 and 349,921 is: 825,677.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,296 : 349,921 = 349,921 : x
  2. Step 2: Convert to fraction form
    148,296/349,921 = 349,921/x
  3. Step 3: Cross multiply
    148,296x = 349,921 × 349,921
  4. Step 4: Simplify right side
    148,296x = 122,444,706,241
  5. Step 5: Solve for x
    x = 122,444,706,241/148,296
  6. Step 6: Final answer
    x = 825,677.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.