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Finding the Third Proportional to 113,460 and 241,268

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Solution

The third proportional to 113,460 and 241,268 is: 513,046.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,460 : 241,268 = 241,268 : x
  2. Step 2: Convert to fraction form
    113,460/241,268 = 241,268/x
  3. Step 3: Cross multiply
    113,460x = 241,268 × 241,268
  4. Step 4: Simplify right side
    113,460x = 58,210,247,824
  5. Step 5: Solve for x
    x = 58,210,247,824/113,460
  6. Step 6: Final answer
    x = 513,046.43

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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.