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Finding the Third Proportional to 168,818.75 and 257,515.75

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Solution

The third proportional to 168,818.75 and 257,515.75 is: 392,813.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,818.75 : 257,515.75 = 257,515.75 : x
  2. Step 2: Convert to fraction form
    168,818.75/257,515.75 = 257,515.75/x
  3. Step 3: Cross multiply
    168,818.75x = 257,515.75 × 257,515.75
  4. Step 4: Simplify right side
    168,818.75x = 66,314,361,498.06
  5. Step 5: Solve for x
    x = 66,314,361,498.06/168,818.75
  6. Step 6: Final answer
    x = 392,813.96

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