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Finding the Third Proportional to 217,035 and 469,161

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Solution

The third proportional to 217,035 and 469,161 is: 1,014,177.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,035 : 469,161 = 469,161 : x
  2. Step 2: Convert to fraction form
    217,035/469,161 = 469,161/x
  3. Step 3: Cross multiply
    217,035x = 469,161 × 469,161
  4. Step 4: Simplify right side
    217,035x = 220,112,043,921
  5. Step 5: Solve for x
    x = 220,112,043,921/217,035
  6. Step 6: Final answer
    x = 1,014,177.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.