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Finding the Third Proportional to 198,416 and 299,413.50

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Solution

The third proportional to 198,416 and 299,413.50 is: 451,820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,416 : 299,413.50 = 299,413.50 : x
  2. Step 2: Convert to fraction form
    198,416/299,413.50 = 299,413.50/x
  3. Step 3: Cross multiply
    198,416x = 299,413.50 × 299,413.50
  4. Step 4: Simplify right side
    198,416x = 89,648,443,982.25
  5. Step 5: Solve for x
    x = 89,648,443,982.25/198,416
  6. Step 6: Final answer
    x = 451,820.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.