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Finding the Third Proportional to 110,381.06 and 238,401.56

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Solution

The third proportional to 110,381.06 and 238,401.56 is: 514,900.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,381.06 : 238,401.56 = 238,401.56 : x
  2. Step 2: Convert to fraction form
    110,381.06/238,401.56 = 238,401.56/x
  3. Step 3: Cross multiply
    110,381.06x = 238,401.56 × 238,401.56
  4. Step 4: Simplify right side
    110,381.06x = 56,835,305,002.44
  5. Step 5: Solve for x
    x = 56,835,305,002.44/110,381.06
  6. Step 6: Final answer
    x = 514,900.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.