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Finding the Third Proportional to 164,289 and 334,533

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Solution

The third proportional to 164,289 and 334,533 is: 681,191.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,289 : 334,533 = 334,533 : x
  2. Step 2: Convert to fraction form
    164,289/334,533 = 334,533/x
  3. Step 3: Cross multiply
    164,289x = 334,533 × 334,533
  4. Step 4: Simplify right side
    164,289x = 111,912,328,089
  5. Step 5: Solve for x
    x = 111,912,328,089/164,289
  6. Step 6: Final answer
    x = 681,191.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.