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Finding the Third Proportional to 255,413.25 and 383,119.88

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Solution

The third proportional to 255,413.25 and 383,119.88 is: 574,679.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,413.25 : 383,119.88 = 383,119.88 : x
  2. Step 2: Convert to fraction form
    255,413.25/383,119.88 = 383,119.88/x
  3. Step 3: Cross multiply
    255,413.25x = 383,119.88 × 383,119.88
  4. Step 4: Simplify right side
    255,413.25x = 146,780,838,620.02
  5. Step 5: Solve for x
    x = 146,780,838,620.02/255,413.25
  6. Step 6: Final answer
    x = 574,679.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.