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Finding the Third Proportional to 226,050.75 and 306,995.06

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Solution

The third proportional to 226,050.75 and 306,995.06 is: 416,923.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,050.75 : 306,995.06 = 306,995.06 : x
  2. Step 2: Convert to fraction form
    226,050.75/306,995.06 = 306,995.06/x
  3. Step 3: Cross multiply
    226,050.75x = 306,995.06 × 306,995.06
  4. Step 4: Simplify right side
    226,050.75x = 94,245,968,399.38
  5. Step 5: Solve for x
    x = 94,245,968,399.38/226,050.75
  6. Step 6: Final answer
    x = 416,923.94

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.