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Finding the Third Proportional to 168,327 and 257,524

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Solution

The third proportional to 168,327 and 257,524 is: 393,986.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,327 : 257,524 = 257,524 : x
  2. Step 2: Convert to fraction form
    168,327/257,524 = 257,524/x
  3. Step 3: Cross multiply
    168,327x = 257,524 × 257,524
  4. Step 4: Simplify right side
    168,327x = 66,318,610,576
  5. Step 5: Solve for x
    x = 66,318,610,576/168,327
  6. Step 6: Final answer
    x = 393,986.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.