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Finding the Third Proportional to 203,556.38 and 299,413.69

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Solution

The third proportional to 203,556.38 and 299,413.69 is: 440,411.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,556.38 : 299,413.69 = 299,413.69 : x
  2. Step 2: Convert to fraction form
    203,556.38/299,413.69 = 299,413.69/x
  3. Step 3: Cross multiply
    203,556.38x = 299,413.69 × 299,413.69
  4. Step 4: Simplify right side
    203,556.38x = 89,648,556,262.35
  5. Step 5: Solve for x
    x = 89,648,556,262.35/203,556.38
  6. Step 6: Final answer
    x = 440,411.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.