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Finding the Third Proportional to 226,740.75 and 327,770.63

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Solution

The third proportional to 226,740.75 and 327,770.63 is: 473,816.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,740.75 : 327,770.63 = 327,770.63 : x
  2. Step 2: Convert to fraction form
    226,740.75/327,770.63 = 327,770.63/x
  3. Step 3: Cross multiply
    226,740.75x = 327,770.63 × 327,770.63
  4. Step 4: Simplify right side
    226,740.75x = 107,433,582,612.89
  5. Step 5: Solve for x
    x = 107,433,582,612.89/226,740.75
  6. Step 6: Final answer
    x = 473,816.83

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.