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Finding the Third Proportional to 113,297 and 248,962

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Solution

The third proportional to 113,297 and 248,962 is: 547,076.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,297 : 248,962 = 248,962 : x
  2. Step 2: Convert to fraction form
    113,297/248,962 = 248,962/x
  3. Step 3: Cross multiply
    113,297x = 248,962 × 248,962
  4. Step 4: Simplify right side
    113,297x = 61,982,077,444
  5. Step 5: Solve for x
    x = 61,982,077,444/113,297
  6. Step 6: Final answer
    x = 547,076.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.