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Finding the Third Proportional to 123,240 and 198,413.25

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Solution

The third proportional to 123,240 and 198,413.25 is: 319,440.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,240 : 198,413.25 = 198,413.25 : x
  2. Step 2: Convert to fraction form
    123,240/198,413.25 = 198,413.25/x
  3. Step 3: Cross multiply
    123,240x = 198,413.25 × 198,413.25
  4. Step 4: Simplify right side
    123,240x = 39,367,817,775.56
  5. Step 5: Solve for x
    x = 39,367,817,775.56/123,240
  6. Step 6: Final answer
    x = 319,440.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.