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Finding the Third Proportional to 104,688 and 227,088

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Solution

The third proportional to 104,688 and 227,088 is: 492,596.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,688 : 227,088 = 227,088 : x
  2. Step 2: Convert to fraction form
    104,688/227,088 = 227,088/x
  3. Step 3: Cross multiply
    104,688x = 227,088 × 227,088
  4. Step 4: Simplify right side
    104,688x = 51,568,959,744
  5. Step 5: Solve for x
    x = 51,568,959,744/104,688
  6. Step 6: Final answer
    x = 492,596.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.