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Finding the Third Proportional to 113,456 and 241,258

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Solution

The third proportional to 113,456 and 241,258 is: 513,021.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,456 : 241,258 = 241,258 : x
  2. Step 2: Convert to fraction form
    113,456/241,258 = 241,258/x
  3. Step 3: Cross multiply
    113,456x = 241,258 × 241,258
  4. Step 4: Simplify right side
    113,456x = 58,205,422,564
  5. Step 5: Solve for x
    x = 58,205,422,564/113,456
  6. Step 6: Final answer
    x = 513,021.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.