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Finding the Third Proportional to 108,735 and 220,539

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Solution

The third proportional to 108,735 and 220,539 is: 447,302.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,735 : 220,539 = 220,539 : x
  2. Step 2: Convert to fraction form
    108,735/220,539 = 220,539/x
  3. Step 3: Cross multiply
    108,735x = 220,539 × 220,539
  4. Step 4: Simplify right side
    108,735x = 48,637,450,521
  5. Step 5: Solve for x
    x = 48,637,450,521/108,735
  6. Step 6: Final answer
    x = 447,302.62

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.