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Finding the Third Proportional to 168,550 and 361,089

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Solution

The third proportional to 168,550 and 361,089 is: 773,570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,550 : 361,089 = 361,089 : x
  2. Step 2: Convert to fraction form
    168,550/361,089 = 361,089/x
  3. Step 3: Cross multiply
    168,550x = 361,089 × 361,089
  4. Step 4: Simplify right side
    168,550x = 130,385,265,921
  5. Step 5: Solve for x
    x = 130,385,265,921/168,550
  6. Step 6: Final answer
    x = 773,570.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.