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Finding the Third Proportional to 171,182 and 256,804

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Solution

The third proportional to 171,182 and 256,804 is: 385,252.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,182 : 256,804 = 256,804 : x
  2. Step 2: Convert to fraction form
    171,182/256,804 = 256,804/x
  3. Step 3: Cross multiply
    171,182x = 256,804 × 256,804
  4. Step 4: Simplify right side
    171,182x = 65,948,294,416
  5. Step 5: Solve for x
    x = 65,948,294,416/171,182
  6. Step 6: Final answer
    x = 385,252.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.