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Finding the Third Proportional to 168,172 and 369,567

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Solution

The third proportional to 168,172 and 369,567 is: 812,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,172 : 369,567 = 369,567 : x
  2. Step 2: Convert to fraction form
    168,172/369,567 = 369,567/x
  3. Step 3: Cross multiply
    168,172x = 369,567 × 369,567
  4. Step 4: Simplify right side
    168,172x = 136,579,767,489
  5. Step 5: Solve for x
    x = 136,579,767,489/168,172
  6. Step 6: Final answer
    x = 812,143.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.