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Finding the Third Proportional to 172,682 and 377,308

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Solution

The third proportional to 172,682 and 377,308 is: 824,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,682 : 377,308 = 377,308 : x
  2. Step 2: Convert to fraction form
    172,682/377,308 = 377,308/x
  3. Step 3: Cross multiply
    172,682x = 377,308 × 377,308
  4. Step 4: Simplify right side
    172,682x = 142,361,326,864
  5. Step 5: Solve for x
    x = 142,361,326,864/172,682
  6. Step 6: Final answer
    x = 824,413.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.