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Finding the Third Proportional to 164,772 and 361,626

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Solution

The third proportional to 164,772 and 361,626 is: 793,662.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,772 : 361,626 = 361,626 : x
  2. Step 2: Convert to fraction form
    164,772/361,626 = 361,626/x
  3. Step 3: Cross multiply
    164,772x = 361,626 × 361,626
  4. Step 4: Simplify right side
    164,772x = 130,773,363,876
  5. Step 5: Solve for x
    x = 130,773,363,876/164,772
  6. Step 6: Final answer
    x = 793,662.54

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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.