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Finding the Third Proportional to 115,852 and 253,845

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Solution

The third proportional to 115,852 and 253,845 is: 556,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,852 : 253,845 = 253,845 : x
  2. Step 2: Convert to fraction form
    115,852/253,845 = 253,845/x
  3. Step 3: Cross multiply
    115,852x = 253,845 × 253,845
  4. Step 4: Simplify right side
    115,852x = 64,437,284,025
  5. Step 5: Solve for x
    x = 64,437,284,025/115,852
  6. Step 6: Final answer
    x = 556,203.47

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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.