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Finding the Third Proportional to 193,738.50 and 272,902.50

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Solution

The third proportional to 193,738.50 and 272,902.50 is: 384,413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,738.50 : 272,902.50 = 272,902.50 : x
  2. Step 2: Convert to fraction form
    193,738.50/272,902.50 = 272,902.50/x
  3. Step 3: Cross multiply
    193,738.50x = 272,902.50 × 272,902.50
  4. Step 4: Simplify right side
    193,738.50x = 74,475,774,506.25
  5. Step 5: Solve for x
    x = 74,475,774,506.25/193,738.50
  6. Step 6: Final answer
    x = 384,413.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.