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Finding the Third Proportional to 168,069 and 361,623

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Solution

The third proportional to 168,069 and 361,623 is: 778,080.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,069 : 361,623 = 361,623 : x
  2. Step 2: Convert to fraction form
    168,069/361,623 = 361,623/x
  3. Step 3: Cross multiply
    168,069x = 361,623 × 361,623
  4. Step 4: Simplify right side
    168,069x = 130,771,194,129
  5. Step 5: Solve for x
    x = 130,771,194,129/168,069
  6. Step 6: Final answer
    x = 778,080.40

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