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Finding the Third Proportional to 108,308 and 241,519

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Solution

The third proportional to 108,308 and 241,519 is: 538,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,308 : 241,519 = 241,519 : x
  2. Step 2: Convert to fraction form
    108,308/241,519 = 241,519/x
  3. Step 3: Cross multiply
    108,308x = 241,519 × 241,519
  4. Step 4: Simplify right side
    108,308x = 58,331,427,361
  5. Step 5: Solve for x
    x = 58,331,427,361/108,308
  6. Step 6: Final answer
    x = 538,569.89

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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.