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Finding the Third Proportional to 170,980.88 and 256,562.44

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Solution

The third proportional to 170,980.88 and 256,562.44 is: 384,980.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,980.88 : 256,562.44 = 256,562.44 : x
  2. Step 2: Convert to fraction form
    170,980.88/256,562.44 = 256,562.44/x
  3. Step 3: Cross multiply
    170,980.88x = 256,562.44 × 256,562.44
  4. Step 4: Simplify right side
    170,980.88x = 65,824,284,335.94
  5. Step 5: Solve for x
    x = 65,824,284,335.94/170,980.88
  6. Step 6: Final answer
    x = 384,980.39

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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.