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Finding the Third Proportional to 148,406 and 349,973

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Solution

The third proportional to 148,406 and 349,973 is: 825,310.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,406 : 349,973 = 349,973 : x
  2. Step 2: Convert to fraction form
    148,406/349,973 = 349,973/x
  3. Step 3: Cross multiply
    148,406x = 349,973 × 349,973
  4. Step 4: Simplify right side
    148,406x = 122,481,100,729
  5. Step 5: Solve for x
    x = 122,481,100,729/148,406
  6. Step 6: Final answer
    x = 825,310.98

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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.