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Finding the Third Proportional to 115,852 and 253,847

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Solution

The third proportional to 115,852 and 253,847 is: 556,212.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,852 : 253,847 = 253,847 : x
  2. Step 2: Convert to fraction form
    115,852/253,847 = 253,847/x
  3. Step 3: Cross multiply
    115,852x = 253,847 × 253,847
  4. Step 4: Simplify right side
    115,852x = 64,438,299,409
  5. Step 5: Solve for x
    x = 64,438,299,409/115,852
  6. Step 6: Final answer
    x = 556,212.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.