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Finding the Third Proportional to 161,164 and 351,002

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Solution

The third proportional to 161,164 and 351,002 is: 764,453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,164 : 351,002 = 351,002 : x
  2. Step 2: Convert to fraction form
    161,164/351,002 = 351,002/x
  3. Step 3: Cross multiply
    161,164x = 351,002 × 351,002
  4. Step 4: Simplify right side
    161,164x = 123,202,404,004
  5. Step 5: Solve for x
    x = 123,202,404,004/161,164
  6. Step 6: Final answer
    x = 764,453.62

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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.