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Finding the Third Proportional to 162,783 and 338,041

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Solution

The third proportional to 162,783 and 338,041 is: 701,988.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,783 : 338,041 = 338,041 : x
  2. Step 2: Convert to fraction form
    162,783/338,041 = 338,041/x
  3. Step 3: Cross multiply
    162,783x = 338,041 × 338,041
  4. Step 4: Simplify right side
    162,783x = 114,271,717,681
  5. Step 5: Solve for x
    x = 114,271,717,681/162,783
  6. Step 6: Final answer
    x = 701,988.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.