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Finding the Third Proportional to 227,527.73 and 356,902.45

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Solution

The third proportional to 227,527.73 and 356,902.45 is: 559,841.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,527.73 : 356,902.45 = 356,902.45 : x
  2. Step 2: Convert to fraction form
    227,527.73/356,902.45 = 356,902.45/x
  3. Step 3: Cross multiply
    227,527.73x = 356,902.45 × 356,902.45
  4. Step 4: Simplify right side
    227,527.73x = 127,379,361,046.64
  5. Step 5: Solve for x
    x = 127,379,361,046.64/227,527.73
  6. Step 6: Final answer
    x = 559,841.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.