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Finding the Third Proportional to 150,957 and 193,603.50

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Solution

The third proportional to 150,957 and 193,603.50 is: 248,297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,957 : 193,603.50 = 193,603.50 : x
  2. Step 2: Convert to fraction form
    150,957/193,603.50 = 193,603.50/x
  3. Step 3: Cross multiply
    150,957x = 193,603.50 × 193,603.50
  4. Step 4: Simplify right side
    150,957x = 37,482,315,212.25
  5. Step 5: Solve for x
    x = 37,482,315,212.25/150,957
  6. Step 6: Final answer
    x = 248,297.96

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.