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Finding the Third Proportional to 227,812.50 and 302,352.75

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Solution

The third proportional to 227,812.50 and 302,352.75 is: 401,282.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,812.50 : 302,352.75 = 302,352.75 : x
  2. Step 2: Convert to fraction form
    227,812.50/302,352.75 = 302,352.75/x
  3. Step 3: Cross multiply
    227,812.50x = 302,352.75 × 302,352.75
  4. Step 4: Simplify right side
    227,812.50x = 91,417,185,432.56
  5. Step 5: Solve for x
    x = 91,417,185,432.56/227,812.50
  6. Step 6: Final answer
    x = 401,282.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.