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Finding the Third Proportional to 174,145.78 and 355,671

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Solution

The third proportional to 174,145.78 and 355,671 is: 726,413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,145.78 : 355,671 = 355,671 : x
  2. Step 2: Convert to fraction form
    174,145.78/355,671 = 355,671/x
  3. Step 3: Cross multiply
    174,145.78x = 355,671 × 355,671
  4. Step 4: Simplify right side
    174,145.78x = 126,501,860,241
  5. Step 5: Solve for x
    x = 126,501,860,241/174,145.78
  6. Step 6: Final answer
    x = 726,413.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.