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Finding the Third Proportional to 176,267 and 264,795

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Solution

The third proportional to 176,267 and 264,795 is: 397,785.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,267 : 264,795 = 264,795 : x
  2. Step 2: Convert to fraction form
    176,267/264,795 = 264,795/x
  3. Step 3: Cross multiply
    176,267x = 264,795 × 264,795
  4. Step 4: Simplify right side
    176,267x = 70,116,392,025
  5. Step 5: Solve for x
    x = 70,116,392,025/176,267
  6. Step 6: Final answer
    x = 397,785.13

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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.