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Finding the Third Proportional to 221,413.50 and 343,784.25

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Solution

The third proportional to 221,413.50 and 343,784.25 is: 533,786.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,413.50 : 343,784.25 = 343,784.25 : x
  2. Step 2: Convert to fraction form
    221,413.50/343,784.25 = 343,784.25/x
  3. Step 3: Cross multiply
    221,413.50x = 343,784.25 × 343,784.25
  4. Step 4: Simplify right side
    221,413.50x = 118,187,610,548.06
  5. Step 5: Solve for x
    x = 118,187,610,548.06/221,413.50
  6. Step 6: Final answer
    x = 533,786.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.