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Finding the Third Proportional to 116,016 and 247,212

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Solution

The third proportional to 116,016 and 247,212 is: 526,770.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,016 : 247,212 = 247,212 : x
  2. Step 2: Convert to fraction form
    116,016/247,212 = 247,212/x
  3. Step 3: Cross multiply
    116,016x = 247,212 × 247,212
  4. Step 4: Simplify right side
    116,016x = 61,113,772,944
  5. Step 5: Solve for x
    x = 61,113,772,944/116,016
  6. Step 6: Final answer
    x = 526,770.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.