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Finding the Third Proportional to 164,161.69 and 353,633.34

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Solution

The third proportional to 164,161.69 and 353,633.34 is: 761,788.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,161.69 : 353,633.34 = 353,633.34 : x
  2. Step 2: Convert to fraction form
    164,161.69/353,633.34 = 353,633.34/x
  3. Step 3: Cross multiply
    164,161.69x = 353,633.34 × 353,633.34
  4. Step 4: Simplify right side
    164,161.69x = 125,056,541,811.81
  5. Step 5: Solve for x
    x = 125,056,541,811.81/164,161.69
  6. Step 6: Final answer
    x = 761,788.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.