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Finding the Third Proportional to 176,048 and 264,916

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Solution

The third proportional to 176,048 and 264,916 is: 398,644.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,048 : 264,916 = 264,916 : x
  2. Step 2: Convert to fraction form
    176,048/264,916 = 264,916/x
  3. Step 3: Cross multiply
    176,048x = 264,916 × 264,916
  4. Step 4: Simplify right side
    176,048x = 70,180,487,056
  5. Step 5: Solve for x
    x = 70,180,487,056/176,048
  6. Step 6: Final answer
    x = 398,644.05

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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.