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Finding the Third Proportional to 164,794 and 361,672

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Solution

The third proportional to 164,794 and 361,672 is: 793,758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,794 : 361,672 = 361,672 : x
  2. Step 2: Convert to fraction form
    164,794/361,672 = 361,672/x
  3. Step 3: Cross multiply
    164,794x = 361,672 × 361,672
  4. Step 4: Simplify right side
    164,794x = 130,806,635,584
  5. Step 5: Solve for x
    x = 130,806,635,584/164,794
  6. Step 6: Final answer
    x = 793,758.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.