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Finding the Third Proportional to 161,705 and 351,679

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Solution

The third proportional to 161,705 and 351,679 is: 764,837.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,705 : 351,679 = 351,679 : x
  2. Step 2: Convert to fraction form
    161,705/351,679 = 351,679/x
  3. Step 3: Cross multiply
    161,705x = 351,679 × 351,679
  4. Step 4: Simplify right side
    161,705x = 123,678,119,041
  5. Step 5: Solve for x
    x = 123,678,119,041/161,705
  6. Step 6: Final answer
    x = 764,837.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.