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Finding the Third Proportional to 127,230.75 and 275,413.50

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Solution

The third proportional to 127,230.75 and 275,413.50 is: 596,181.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,230.75 : 275,413.50 = 275,413.50 : x
  2. Step 2: Convert to fraction form
    127,230.75/275,413.50 = 275,413.50/x
  3. Step 3: Cross multiply
    127,230.75x = 275,413.50 × 275,413.50
  4. Step 4: Simplify right side
    127,230.75x = 75,852,595,982.25
  5. Step 5: Solve for x
    x = 75,852,595,982.25/127,230.75
  6. Step 6: Final answer
    x = 596,181.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.