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Finding the Third Proportional to 115,814 and 253,794

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Solution

The third proportional to 115,814 and 253,794 is: 556,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,814 : 253,794 = 253,794 : x
  2. Step 2: Convert to fraction form
    115,814/253,794 = 253,794/x
  3. Step 3: Cross multiply
    115,814x = 253,794 × 253,794
  4. Step 4: Simplify right side
    115,814x = 64,411,394,436
  5. Step 5: Solve for x
    x = 64,411,394,436/115,814
  6. Step 6: Final answer
    x = 556,162.42

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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.