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Finding the Third Proportional to 108,704 and 240,728

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Solution

The third proportional to 108,704 and 240,728 is: 533,098.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,704 : 240,728 = 240,728 : x
  2. Step 2: Convert to fraction form
    108,704/240,728 = 240,728/x
  3. Step 3: Cross multiply
    108,704x = 240,728 × 240,728
  4. Step 4: Simplify right side
    108,704x = 57,949,969,984
  5. Step 5: Solve for x
    x = 57,949,969,984/108,704
  6. Step 6: Final answer
    x = 533,098.78

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.