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Finding the Third Proportional to 176,916 and 264,725

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Solution

The third proportional to 176,916 and 264,725 is: 396,116.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,916 : 264,725 = 264,725 : x
  2. Step 2: Convert to fraction form
    176,916/264,725 = 264,725/x
  3. Step 3: Cross multiply
    176,916x = 264,725 × 264,725
  4. Step 4: Simplify right side
    176,916x = 70,079,325,625
  5. Step 5: Solve for x
    x = 70,079,325,625/176,916
  6. Step 6: Final answer
    x = 396,116.38

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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.