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Finding the Third Proportional to 108,460 and 241,821

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Solution

The third proportional to 108,460 and 241,821 is: 539,160.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,460 : 241,821 = 241,821 : x
  2. Step 2: Convert to fraction form
    108,460/241,821 = 241,821/x
  3. Step 3: Cross multiply
    108,460x = 241,821 × 241,821
  4. Step 4: Simplify right side
    108,460x = 58,477,396,041
  5. Step 5: Solve for x
    x = 58,477,396,041/108,460
  6. Step 6: Final answer
    x = 539,160.94

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.