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Finding the Third Proportional to 168,596 and 261,036

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Solution

The third proportional to 168,596 and 261,036 is: 404,160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,596 : 261,036 = 261,036 : x
  2. Step 2: Convert to fraction form
    168,596/261,036 = 261,036/x
  3. Step 3: Cross multiply
    168,596x = 261,036 × 261,036
  4. Step 4: Simplify right side
    168,596x = 68,139,793,296
  5. Step 5: Solve for x
    x = 68,139,793,296/168,596
  6. Step 6: Final answer
    x = 404,160.20

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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.