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Finding the Third Proportional to 161,579 and 345,622

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Solution

The third proportional to 161,579 and 345,622 is: 739,295.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,579 : 345,622 = 345,622 : x
  2. Step 2: Convert to fraction form
    161,579/345,622 = 345,622/x
  3. Step 3: Cross multiply
    161,579x = 345,622 × 345,622
  4. Step 4: Simplify right side
    161,579x = 119,454,566,884
  5. Step 5: Solve for x
    x = 119,454,566,884/161,579
  6. Step 6: Final answer
    x = 739,295.12

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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.