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Finding the Third Proportional to 168,055 and 260,345

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Solution

The third proportional to 168,055 and 260,345 is: 403,317.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,055 : 260,345 = 260,345 : x
  2. Step 2: Convert to fraction form
    168,055/260,345 = 260,345/x
  3. Step 3: Cross multiply
    168,055x = 260,345 × 260,345
  4. Step 4: Simplify right side
    168,055x = 67,779,519,025
  5. Step 5: Solve for x
    x = 67,779,519,025/168,055
  6. Step 6: Final answer
    x = 403,317.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.