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Finding the Third Proportional to 113,406 and 248,520

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Solution

The third proportional to 113,406 and 248,520 is: 544,611.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,406 : 248,520 = 248,520 : x
  2. Step 2: Convert to fraction form
    113,406/248,520 = 248,520/x
  3. Step 3: Cross multiply
    113,406x = 248,520 × 248,520
  4. Step 4: Simplify right side
    113,406x = 61,762,190,400
  5. Step 5: Solve for x
    x = 61,762,190,400/113,406
  6. Step 6: Final answer
    x = 544,611.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.