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Finding the Third Proportional to 113,456 and 241,260

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Solution

The third proportional to 113,456 and 241,260 is: 513,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,456 : 241,260 = 241,260 : x
  2. Step 2: Convert to fraction form
    113,456/241,260 = 241,260/x
  3. Step 3: Cross multiply
    113,456x = 241,260 × 241,260
  4. Step 4: Simplify right side
    113,456x = 58,206,387,600
  5. Step 5: Solve for x
    x = 58,206,387,600/113,456
  6. Step 6: Final answer
    x = 513,030.49

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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.