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Finding the Third Proportional to 173,420 and 372,712

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Solution

The third proportional to 173,420 and 372,712 is: 801,027.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,420 : 372,712 = 372,712 : x
  2. Step 2: Convert to fraction form
    173,420/372,712 = 372,712/x
  3. Step 3: Cross multiply
    173,420x = 372,712 × 372,712
  4. Step 4: Simplify right side
    173,420x = 138,914,234,944
  5. Step 5: Solve for x
    x = 138,914,234,944/173,420
  6. Step 6: Final answer
    x = 801,027.76

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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.