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Finding the Third Proportional to 119,704.50 and 257,048.44

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Solution

The third proportional to 119,704.50 and 257,048.44 is: 551,975.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,704.50 : 257,048.44 = 257,048.44 : x
  2. Step 2: Convert to fraction form
    119,704.50/257,048.44 = 257,048.44/x
  3. Step 3: Cross multiply
    119,704.50x = 257,048.44 × 257,048.44
  4. Step 4: Simplify right side
    119,704.50x = 66,073,899,221.19
  5. Step 5: Solve for x
    x = 66,073,899,221.19/119,704.50
  6. Step 6: Final answer
    x = 551,975.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.