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Finding the Third Proportional to 161,201 and 335,485

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Solution

The third proportional to 161,201 and 335,485 is: 698,197.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,201 : 335,485 = 335,485 : x
  2. Step 2: Convert to fraction form
    161,201/335,485 = 335,485/x
  3. Step 3: Cross multiply
    161,201x = 335,485 × 335,485
  4. Step 4: Simplify right side
    161,201x = 112,550,185,225
  5. Step 5: Solve for x
    x = 112,550,185,225/161,201
  6. Step 6: Final answer
    x = 698,197.81

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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.