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Finding the Third Proportional to 204,315.75 and 403,413.75

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Solution

The third proportional to 204,315.75 and 403,413.75 is: 796,525.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,315.75 : 403,413.75 = 403,413.75 : x
  2. Step 2: Convert to fraction form
    204,315.75/403,413.75 = 403,413.75/x
  3. Step 3: Cross multiply
    204,315.75x = 403,413.75 × 403,413.75
  4. Step 4: Simplify right side
    204,315.75x = 162,742,653,689.06
  5. Step 5: Solve for x
    x = 162,742,653,689.06/204,315.75
  6. Step 6: Final answer
    x = 796,525.25

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.