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Finding the Third Proportional to 165,571 and 350,865

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Solution

The third proportional to 165,571 and 350,865 is: 743,525.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,571 : 350,865 = 350,865 : x
  2. Step 2: Convert to fraction form
    165,571/350,865 = 350,865/x
  3. Step 3: Cross multiply
    165,571x = 350,865 × 350,865
  4. Step 4: Simplify right side
    165,571x = 123,106,248,225
  5. Step 5: Solve for x
    x = 123,106,248,225/165,571
  6. Step 6: Final answer
    x = 743,525.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.