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Finding the Third Proportional to 174,945 and 267,946

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Solution

The third proportional to 174,945 and 267,946 is: 410,386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,945 : 267,946 = 267,946 : x
  2. Step 2: Convert to fraction form
    174,945/267,946 = 267,946/x
  3. Step 3: Cross multiply
    174,945x = 267,946 × 267,946
  4. Step 4: Simplify right side
    174,945x = 71,795,058,916
  5. Step 5: Solve for x
    x = 71,795,058,916/174,945
  6. Step 6: Final answer
    x = 410,386.46

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Why These Related Problems?

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