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Finding the Third Proportional to 168,320 and 366,772

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Solution

The third proportional to 168,320 and 366,772 is: 799,202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,320 : 366,772 = 366,772 : x
  2. Step 2: Convert to fraction form
    168,320/366,772 = 366,772/x
  3. Step 3: Cross multiply
    168,320x = 366,772 × 366,772
  4. Step 4: Simplify right side
    168,320x = 134,521,699,984
  5. Step 5: Solve for x
    x = 134,521,699,984/168,320
  6. Step 6: Final answer
    x = 799,202.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.