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Finding the Third Proportional to 108,515 and 236,632

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Solution

The third proportional to 108,515 and 236,632 is: 516,008.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,515 : 236,632 = 236,632 : x
  2. Step 2: Convert to fraction form
    108,515/236,632 = 236,632/x
  3. Step 3: Cross multiply
    108,515x = 236,632 × 236,632
  4. Step 4: Simplify right side
    108,515x = 55,994,703,424
  5. Step 5: Solve for x
    x = 55,994,703,424/108,515
  6. Step 6: Final answer
    x = 516,008.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.