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Finding the Third Proportional to 161,583 and 345,162

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Solution

The third proportional to 161,583 and 345,162 is: 737,310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,583 : 345,162 = 345,162 : x
  2. Step 2: Convert to fraction form
    161,583/345,162 = 345,162/x
  3. Step 3: Cross multiply
    161,583x = 345,162 × 345,162
  4. Step 4: Simplify right side
    161,583x = 119,136,806,244
  5. Step 5: Solve for x
    x = 119,136,806,244/161,583
  6. Step 6: Final answer
    x = 737,310.28

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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.