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Finding the Third Proportional to 168,381 and 266,576

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Solution

The third proportional to 168,381 and 266,576 is: 422,035.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,381 : 266,576 = 266,576 : x
  2. Step 2: Convert to fraction form
    168,381/266,576 = 266,576/x
  3. Step 3: Cross multiply
    168,381x = 266,576 × 266,576
  4. Step 4: Simplify right side
    168,381x = 71,062,763,776
  5. Step 5: Solve for x
    x = 71,062,763,776/168,381
  6. Step 6: Final answer
    x = 422,035.53

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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.