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Finding the Third Proportional to 230,890.82 and 345,413.58

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Solution

The third proportional to 230,890.82 and 345,413.58 is: 516,740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,890.82 : 345,413.58 = 345,413.58 : x
  2. Step 2: Convert to fraction form
    230,890.82/345,413.58 = 345,413.58/x
  3. Step 3: Cross multiply
    230,890.82x = 345,413.58 × 345,413.58
  4. Step 4: Simplify right side
    230,890.82x = 119,310,544,000.92
  5. Step 5: Solve for x
    x = 119,310,544,000.92/230,890.82
  6. Step 6: Final answer
    x = 516,740.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.