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Finding the Third Proportional to 168,021 and 266,182

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Solution

The third proportional to 168,021 and 266,182 is: 421,690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,021 : 266,182 = 266,182 : x
  2. Step 2: Convert to fraction form
    168,021/266,182 = 266,182/x
  3. Step 3: Cross multiply
    168,021x = 266,182 × 266,182
  4. Step 4: Simplify right side
    168,021x = 70,852,857,124
  5. Step 5: Solve for x
    x = 70,852,857,124/168,021
  6. Step 6: Final answer
    x = 421,690.49

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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.