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Finding the Third Proportional to 206,413.31 and 341,619.75

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Solution

The third proportional to 206,413.31 and 341,619.75 is: 565,390.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,413.31 : 341,619.75 = 341,619.75 : x
  2. Step 2: Convert to fraction form
    206,413.31/341,619.75 = 341,619.75/x
  3. Step 3: Cross multiply
    206,413.31x = 341,619.75 × 341,619.75
  4. Step 4: Simplify right side
    206,413.31x = 116,704,053,590.06
  5. Step 5: Solve for x
    x = 116,704,053,590.06/206,413.31
  6. Step 6: Final answer
    x = 565,390.15

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.