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Finding the Third Proportional to 168,059 and 266,241

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Solution

The third proportional to 168,059 and 266,241 is: 421,782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,059 : 266,241 = 266,241 : x
  2. Step 2: Convert to fraction form
    168,059/266,241 = 266,241/x
  3. Step 3: Cross multiply
    168,059x = 266,241 × 266,241
  4. Step 4: Simplify right side
    168,059x = 70,884,270,081
  5. Step 5: Solve for x
    x = 70,884,270,081/168,059
  6. Step 6: Final answer
    x = 421,782.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.