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Finding the Third Proportional to 113,946.75 and 248,401.69

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Solution

The third proportional to 113,946.75 and 248,401.69 is: 541,510.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,946.75 : 248,401.69 = 248,401.69 : x
  2. Step 2: Convert to fraction form
    113,946.75/248,401.69 = 248,401.69/x
  3. Step 3: Cross multiply
    113,946.75x = 248,401.69 × 248,401.69
  4. Step 4: Simplify right side
    113,946.75x = 61,703,398,352.85
  5. Step 5: Solve for x
    x = 61,703,398,352.85/113,946.75
  6. Step 6: Final answer
    x = 541,510.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.