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Finding the Third Proportional to 338,168 and 506,181

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Solution

The third proportional to 338,168 and 506,181 is: 757,668.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,168 : 506,181 = 506,181 : x
  2. Step 2: Convert to fraction form
    338,168/506,181 = 506,181/x
  3. Step 3: Cross multiply
    338,168x = 506,181 × 506,181
  4. Step 4: Simplify right side
    338,168x = 256,219,204,761
  5. Step 5: Solve for x
    x = 256,219,204,761/338,168
  6. Step 6: Final answer
    x = 757,668.39

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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.