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Finding the Third Proportional to 108,318 and 241,539

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Solution

The third proportional to 108,318 and 241,539 is: 538,609.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,318 : 241,539 = 241,539 : x
  2. Step 2: Convert to fraction form
    108,318/241,539 = 241,539/x
  3. Step 3: Cross multiply
    108,318x = 241,539 × 241,539
  4. Step 4: Simplify right side
    108,318x = 58,341,088,521
  5. Step 5: Solve for x
    x = 58,341,088,521/108,318
  6. Step 6: Final answer
    x = 538,609.36

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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.