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Finding the Third Proportional to 173,256 and 378,264

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Solution

The third proportional to 173,256 and 378,264 is: 825,851.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,256 : 378,264 = 378,264 : x
  2. Step 2: Convert to fraction form
    173,256/378,264 = 378,264/x
  3. Step 3: Cross multiply
    173,256x = 378,264 × 378,264
  4. Step 4: Simplify right side
    173,256x = 143,083,653,696
  5. Step 5: Solve for x
    x = 143,083,653,696/173,256
  6. Step 6: Final answer
    x = 825,851.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.