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Finding the Third Proportional to 164,900 and 361,452

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Solution

The third proportional to 164,900 and 361,452 is: 792,283.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,900 : 361,452 = 361,452 : x
  2. Step 2: Convert to fraction form
    164,900/361,452 = 361,452/x
  3. Step 3: Cross multiply
    164,900x = 361,452 × 361,452
  4. Step 4: Simplify right side
    164,900x = 130,647,548,304
  5. Step 5: Solve for x
    x = 130,647,548,304/164,900
  6. Step 6: Final answer
    x = 792,283.49

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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.