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Finding the Third Proportional to 113,814 and 248,648

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Solution

The third proportional to 113,814 and 248,648 is: 543,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,814 : 248,648 = 248,648 : x
  2. Step 2: Convert to fraction form
    113,814/248,648 = 248,648/x
  3. Step 3: Cross multiply
    113,814x = 248,648 × 248,648
  4. Step 4: Simplify right side
    113,814x = 61,825,827,904
  5. Step 5: Solve for x
    x = 61,825,827,904/113,814
  6. Step 6: Final answer
    x = 543,218.13

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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.