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Finding the Third Proportional to 171,672 and 369,840

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Solution

The third proportional to 171,672 and 369,840 is: 796,761.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,672 : 369,840 = 369,840 : x
  2. Step 2: Convert to fraction form
    171,672/369,840 = 369,840/x
  3. Step 3: Cross multiply
    171,672x = 369,840 × 369,840
  4. Step 4: Simplify right side
    171,672x = 136,781,625,600
  5. Step 5: Solve for x
    x = 136,781,625,600/171,672
  6. Step 6: Final answer
    x = 796,761.41

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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.