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Finding the Third Proportional to 238,256.44 and 523,168.88

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Solution

The third proportional to 238,256.44 and 523,168.88 is: 1,148,786.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,256.44 : 523,168.88 = 523,168.88 : x
  2. Step 2: Convert to fraction form
    238,256.44/523,168.88 = 523,168.88/x
  3. Step 3: Cross multiply
    238,256.44x = 523,168.88 × 523,168.88
  4. Step 4: Simplify right side
    238,256.44x = 273,705,671,768.77
  5. Step 5: Solve for x
    x = 273,705,671,768.77/238,256.44
  6. Step 6: Final answer
    x = 1,148,786.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.