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Finding the Third Proportional to 108,309 and 241,521

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Solution

The third proportional to 108,309 and 241,521 is: 538,573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,309 : 241,521 = 241,521 : x
  2. Step 2: Convert to fraction form
    108,309/241,521 = 241,521/x
  3. Step 3: Cross multiply
    108,309x = 241,521 × 241,521
  4. Step 4: Simplify right side
    108,309x = 58,332,393,441
  5. Step 5: Solve for x
    x = 58,332,393,441/108,309
  6. Step 6: Final answer
    x = 538,573.83

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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.