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Finding the Third Proportional to 168,270 and 362,772

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Solution

The third proportional to 168,270 and 362,772 is: 782,097.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,270 : 362,772 = 362,772 : x
  2. Step 2: Convert to fraction form
    168,270/362,772 = 362,772/x
  3. Step 3: Cross multiply
    168,270x = 362,772 × 362,772
  4. Step 4: Simplify right side
    168,270x = 131,603,523,984
  5. Step 5: Solve for x
    x = 131,603,523,984/168,270
  6. Step 6: Final answer
    x = 782,097.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.