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Finding the Third Proportional to 172,359 and 376,794

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Solution

The third proportional to 172,359 and 376,794 is: 823,709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,359 : 376,794 = 376,794 : x
  2. Step 2: Convert to fraction form
    172,359/376,794 = 376,794/x
  3. Step 3: Cross multiply
    172,359x = 376,794 × 376,794
  4. Step 4: Simplify right side
    172,359x = 141,973,718,436
  5. Step 5: Solve for x
    x = 141,973,718,436/172,359
  6. Step 6: Final answer
    x = 823,709.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.