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Finding the Third Proportional to 114,413.20 and 246,045.23

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Solution

The third proportional to 114,413.20 and 246,045.23 is: 529,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,413.20 : 246,045.23 = 246,045.23 : x
  2. Step 2: Convert to fraction form
    114,413.20/246,045.23 = 246,045.23/x
  3. Step 3: Cross multiply
    114,413.20x = 246,045.23 × 246,045.23
  4. Step 4: Simplify right side
    114,413.20x = 60,538,257,358.65
  5. Step 5: Solve for x
    x = 60,538,257,358.65/114,413.20
  6. Step 6: Final answer
    x = 529,119.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.