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Finding the Third Proportional to 107,814 and 236,388

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Solution

The third proportional to 107,814 and 236,388 is: 518,293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,814 : 236,388 = 236,388 : x
  2. Step 2: Convert to fraction form
    107,814/236,388 = 236,388/x
  3. Step 3: Cross multiply
    107,814x = 236,388 × 236,388
  4. Step 4: Simplify right side
    107,814x = 55,879,286,544
  5. Step 5: Solve for x
    x = 55,879,286,544/107,814
  6. Step 6: Final answer
    x = 518,293.42

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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.