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Finding the Third Proportional to 151,413.75 and 327,909

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Solution

The third proportional to 151,413.75 and 327,909 is: 710,135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,413.75 : 327,909 = 327,909 : x
  2. Step 2: Convert to fraction form
    151,413.75/327,909 = 327,909/x
  3. Step 3: Cross multiply
    151,413.75x = 327,909 × 327,909
  4. Step 4: Simplify right side
    151,413.75x = 107,524,312,281
  5. Step 5: Solve for x
    x = 107,524,312,281/151,413.75
  6. Step 6: Final answer
    x = 710,135.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.