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Finding the Third Proportional to 173,256 and 373,296

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Solution

The third proportional to 173,256 and 373,296 is: 804,300.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,256 : 373,296 = 373,296 : x
  2. Step 2: Convert to fraction form
    173,256/373,296 = 373,296/x
  3. Step 3: Cross multiply
    173,256x = 373,296 × 373,296
  4. Step 4: Simplify right side
    173,256x = 139,349,903,616
  5. Step 5: Solve for x
    x = 139,349,903,616/173,256
  6. Step 6: Final answer
    x = 804,300.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.