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Finding the Third Proportional to 111,917 and 245,886

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Solution

The third proportional to 111,917 and 245,886 is: 540,221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,917 : 245,886 = 245,886 : x
  2. Step 2: Convert to fraction form
    111,917/245,886 = 245,886/x
  3. Step 3: Cross multiply
    111,917x = 245,886 × 245,886
  4. Step 4: Simplify right side
    111,917x = 60,459,924,996
  5. Step 5: Solve for x
    x = 60,459,924,996/111,917
  6. Step 6: Final answer
    x = 540,221.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.