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Finding the Third Proportional to 161,165 and 351,004

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Solution

The third proportional to 161,165 and 351,004 is: 764,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,165 : 351,004 = 351,004 : x
  2. Step 2: Convert to fraction form
    161,165/351,004 = 351,004/x
  3. Step 3: Cross multiply
    161,165x = 351,004 × 351,004
  4. Step 4: Simplify right side
    161,165x = 123,203,808,016
  5. Step 5: Solve for x
    x = 123,203,808,016/161,165
  6. Step 6: Final answer
    x = 764,457.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.