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Finding the Third Proportional to 116,595 and 255,413.25

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Solution

The third proportional to 116,595 and 255,413.25 is: 559,508.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,595 : 255,413.25 = 255,413.25 : x
  2. Step 2: Convert to fraction form
    116,595/255,413.25 = 255,413.25/x
  3. Step 3: Cross multiply
    116,595x = 255,413.25 × 255,413.25
  4. Step 4: Simplify right side
    116,595x = 65,235,928,275.56
  5. Step 5: Solve for x
    x = 65,235,928,275.56/116,595
  6. Step 6: Final answer
    x = 559,508.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.