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Finding the Third Proportional to 174,828.38 and 386,413.88

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Solution

The third proportional to 174,828.38 and 386,413.88 is: 854,070.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,828.38 : 386,413.88 = 386,413.88 : x
  2. Step 2: Convert to fraction form
    174,828.38/386,413.88 = 386,413.88/x
  3. Step 3: Cross multiply
    174,828.38x = 386,413.88 × 386,413.88
  4. Step 4: Simplify right side
    174,828.38x = 149,315,682,792.52
  5. Step 5: Solve for x
    x = 149,315,682,792.52/174,828.38
  6. Step 6: Final answer
    x = 854,070.07

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.