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Finding the Third Proportional to 167,619 and 227,776.50

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Solution

The third proportional to 167,619 and 227,776.50 is: 309,524.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,619 : 227,776.50 = 227,776.50 : x
  2. Step 2: Convert to fraction form
    167,619/227,776.50 = 227,776.50/x
  3. Step 3: Cross multiply
    167,619x = 227,776.50 × 227,776.50
  4. Step 4: Simplify right side
    167,619x = 51,882,133,952.25
  5. Step 5: Solve for x
    x = 51,882,133,952.25/167,619
  6. Step 6: Final answer
    x = 309,524.18

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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.