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Finding the Third Proportional to 148,388.50 and 349,938

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Solution

The third proportional to 148,388.50 and 349,938 is: 825,243.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,388.50 : 349,938 = 349,938 : x
  2. Step 2: Convert to fraction form
    148,388.50/349,938 = 349,938/x
  3. Step 3: Cross multiply
    148,388.50x = 349,938 × 349,938
  4. Step 4: Simplify right side
    148,388.50x = 122,456,603,844
  5. Step 5: Solve for x
    x = 122,456,603,844/148,388.50
  6. Step 6: Final answer
    x = 825,243.22

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