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Finding the Third Proportional to 168,725 and 366,973

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Solution

The third proportional to 168,725 and 366,973 is: 798,157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,725 : 366,973 = 366,973 : x
  2. Step 2: Convert to fraction form
    168,725/366,973 = 366,973/x
  3. Step 3: Cross multiply
    168,725x = 366,973 × 366,973
  4. Step 4: Simplify right side
    168,725x = 134,669,182,729
  5. Step 5: Solve for x
    x = 134,669,182,729/168,725
  6. Step 6: Final answer
    x = 798,157.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.