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Finding the Third Proportional to 113,766 and 248,236

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Solution

The third proportional to 113,766 and 248,236 is: 541,647.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,766 : 248,236 = 248,236 : x
  2. Step 2: Convert to fraction form
    113,766/248,236 = 248,236/x
  3. Step 3: Cross multiply
    113,766x = 248,236 × 248,236
  4. Step 4: Simplify right side
    113,766x = 61,621,111,696
  5. Step 5: Solve for x
    x = 61,621,111,696/113,766
  6. Step 6: Final answer
    x = 541,647.87

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Why These Related Problems?

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