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Finding the Third Proportional to 110,546 and 236,863

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Solution

The third proportional to 110,546 and 236,863 is: 507,517.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,546 : 236,863 = 236,863 : x
  2. Step 2: Convert to fraction form
    110,546/236,863 = 236,863/x
  3. Step 3: Cross multiply
    110,546x = 236,863 × 236,863
  4. Step 4: Simplify right side
    110,546x = 56,104,080,769
  5. Step 5: Solve for x
    x = 56,104,080,769/110,546
  6. Step 6: Final answer
    x = 507,517.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.