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Finding the Third Proportional to 173,014 and 372,692

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Solution

The third proportional to 173,014 and 372,692 is: 802,821.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,014 : 372,692 = 372,692 : x
  2. Step 2: Convert to fraction form
    173,014/372,692 = 372,692/x
  3. Step 3: Cross multiply
    173,014x = 372,692 × 372,692
  4. Step 4: Simplify right side
    173,014x = 138,899,326,864
  5. Step 5: Solve for x
    x = 138,899,326,864/173,014
  6. Step 6: Final answer
    x = 802,821.31

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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.