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Finding the Third Proportional to 108,334 and 241,562

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Solution

The third proportional to 108,334 and 241,562 is: 538,632.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,334 : 241,562 = 241,562 : x
  2. Step 2: Convert to fraction form
    108,334/241,562 = 241,562/x
  3. Step 3: Cross multiply
    108,334x = 241,562 × 241,562
  4. Step 4: Simplify right side
    108,334x = 58,352,199,844
  5. Step 5: Solve for x
    x = 58,352,199,844/108,334
  6. Step 6: Final answer
    x = 538,632.38

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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.