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Finding the Third Proportional to 117,714.75 and 257,676

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Solution

The third proportional to 117,714.75 and 257,676 is: 564,049.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,714.75 : 257,676 = 257,676 : x
  2. Step 2: Convert to fraction form
    117,714.75/257,676 = 257,676/x
  3. Step 3: Cross multiply
    117,714.75x = 257,676 × 257,676
  4. Step 4: Simplify right side
    117,714.75x = 66,396,920,976
  5. Step 5: Solve for x
    x = 66,396,920,976/117,714.75
  6. Step 6: Final answer
    x = 564,049.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.