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Finding the Third Proportional to 168,045 and 351,666

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Solution

The third proportional to 168,045 and 351,666 is: 735,927.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,045 : 351,666 = 351,666 : x
  2. Step 2: Convert to fraction form
    168,045/351,666 = 351,666/x
  3. Step 3: Cross multiply
    168,045x = 351,666 × 351,666
  4. Step 4: Simplify right side
    168,045x = 123,668,975,556
  5. Step 5: Solve for x
    x = 123,668,975,556/168,045
  6. Step 6: Final answer
    x = 735,927.73

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.