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Finding the Third Proportional to 238,714.88 and 324,393.19

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Solution

The third proportional to 238,714.88 and 324,393.19 is: 440,822.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,714.88 : 324,393.19 = 324,393.19 : x
  2. Step 2: Convert to fraction form
    238,714.88/324,393.19 = 324,393.19/x
  3. Step 3: Cross multiply
    238,714.88x = 324,393.19 × 324,393.19
  4. Step 4: Simplify right side
    238,714.88x = 105,230,940,096.41
  5. Step 5: Solve for x
    x = 105,230,940,096.41/238,714.88
  6. Step 6: Final answer
    x = 440,822.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.