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Finding the Third Proportional to 115,854 and 253,852

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Solution

The third proportional to 115,854 and 253,852 is: 556,224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,854 : 253,852 = 253,852 : x
  2. Step 2: Convert to fraction form
    115,854/253,852 = 253,852/x
  3. Step 3: Cross multiply
    115,854x = 253,852 × 253,852
  4. Step 4: Simplify right side
    115,854x = 64,440,837,904
  5. Step 5: Solve for x
    x = 64,440,837,904/115,854
  6. Step 6: Final answer
    x = 556,224.54

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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.