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Finding the Third Proportional to 161,697 and 333,766

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Solution

The third proportional to 161,697 and 333,766 is: 688,941.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,697 : 333,766 = 333,766 : x
  2. Step 2: Convert to fraction form
    161,697/333,766 = 333,766/x
  3. Step 3: Cross multiply
    161,697x = 333,766 × 333,766
  4. Step 4: Simplify right side
    161,697x = 111,399,742,756
  5. Step 5: Solve for x
    x = 111,399,742,756/161,697
  6. Step 6: Final answer
    x = 688,941.31

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.