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Finding the Third Proportional to 150,206 and 321,735

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Solution

The third proportional to 150,206 and 321,735 is: 689,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,206 : 321,735 = 321,735 : x
  2. Step 2: Convert to fraction form
    150,206/321,735 = 321,735/x
  3. Step 3: Cross multiply
    150,206x = 321,735 × 321,735
  4. Step 4: Simplify right side
    150,206x = 103,513,410,225
  5. Step 5: Solve for x
    x = 103,513,410,225/150,206
  6. Step 6: Final answer
    x = 689,142.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.