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Finding the Third Proportional to 164,116 and 234,690

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Solution

The third proportional to 164,116 and 234,690 is: 335,612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,116 : 234,690 = 234,690 : x
  2. Step 2: Convert to fraction form
    164,116/234,690 = 234,690/x
  3. Step 3: Cross multiply
    164,116x = 234,690 × 234,690
  4. Step 4: Simplify right side
    164,116x = 55,079,396,100
  5. Step 5: Solve for x
    x = 55,079,396,100/164,116
  6. Step 6: Final answer
    x = 335,612.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.