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Finding the Third Proportional to 168,564 and 362,568

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Solution

The third proportional to 168,564 and 362,568 is: 779,855.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,564 : 362,568 = 362,568 : x
  2. Step 2: Convert to fraction form
    168,564/362,568 = 362,568/x
  3. Step 3: Cross multiply
    168,564x = 362,568 × 362,568
  4. Step 4: Simplify right side
    168,564x = 131,455,554,624
  5. Step 5: Solve for x
    x = 131,455,554,624/168,564
  6. Step 6: Final answer
    x = 779,855.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.