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Finding the Third Proportional to 172,104 and 372,810

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Solution

The third proportional to 172,104 and 372,810 is: 807,577.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,104 : 372,810 = 372,810 : x
  2. Step 2: Convert to fraction form
    172,104/372,810 = 372,810/x
  3. Step 3: Cross multiply
    172,104x = 372,810 × 372,810
  4. Step 4: Simplify right side
    172,104x = 138,987,296,100
  5. Step 5: Solve for x
    x = 138,987,296,100/172,104
  6. Step 6: Final answer
    x = 807,577.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.