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Finding the Third Proportional to 108,888 and 239,847

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Solution

The third proportional to 108,888 and 239,847 is: 528,309.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,888 : 239,847 = 239,847 : x
  2. Step 2: Convert to fraction form
    108,888/239,847 = 239,847/x
  3. Step 3: Cross multiply
    108,888x = 239,847 × 239,847
  4. Step 4: Simplify right side
    108,888x = 57,526,583,409
  5. Step 5: Solve for x
    x = 57,526,583,409/108,888
  6. Step 6: Final answer
    x = 528,309.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.