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Finding the Third Proportional to 225,916.50 and 301,188.75

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Solution

The third proportional to 225,916.50 and 301,188.75 is: 401,540.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,916.50 : 301,188.75 = 301,188.75 : x
  2. Step 2: Convert to fraction form
    225,916.50/301,188.75 = 301,188.75/x
  3. Step 3: Cross multiply
    225,916.50x = 301,188.75 × 301,188.75
  4. Step 4: Simplify right side
    225,916.50x = 90,714,663,126.56
  5. Step 5: Solve for x
    x = 90,714,663,126.56/225,916.50
  6. Step 6: Final answer
    x = 401,540.67

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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.