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Finding the Third Proportional to 334,413.50 and 505,186

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Solution

The third proportional to 334,413.50 and 505,186 is: 763,165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,413.50 : 505,186 = 505,186 : x
  2. Step 2: Convert to fraction form
    334,413.50/505,186 = 505,186/x
  3. Step 3: Cross multiply
    334,413.50x = 505,186 × 505,186
  4. Step 4: Simplify right side
    334,413.50x = 255,212,894,596
  5. Step 5: Solve for x
    x = 255,212,894,596/334,413.50
  6. Step 6: Final answer
    x = 763,165.65

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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.