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Finding the Third Proportional to 233,416.50 and 330,306

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Solution

The third proportional to 233,416.50 and 330,306 is: 467,413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,416.50 : 330,306 = 330,306 : x
  2. Step 2: Convert to fraction form
    233,416.50/330,306 = 330,306/x
  3. Step 3: Cross multiply
    233,416.50x = 330,306 × 330,306
  4. Step 4: Simplify right side
    233,416.50x = 109,102,053,636
  5. Step 5: Solve for x
    x = 109,102,053,636/233,416.50
  6. Step 6: Final answer
    x = 467,413.63

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.