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Finding the Third Proportional to 176,756 and 267,706

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Solution

The third proportional to 176,756 and 267,706 is: 405,454.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,756 : 267,706 = 267,706 : x
  2. Step 2: Convert to fraction form
    176,756/267,706 = 267,706/x
  3. Step 3: Cross multiply
    176,756x = 267,706 × 267,706
  4. Step 4: Simplify right side
    176,756x = 71,666,502,436
  5. Step 5: Solve for x
    x = 71,666,502,436/176,756
  6. Step 6: Final answer
    x = 405,454.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.