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Finding the Third Proportional to 108,672 and 233,412

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Solution

The third proportional to 108,672 and 233,412 is: 501,335.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,672 : 233,412 = 233,412 : x
  2. Step 2: Convert to fraction form
    108,672/233,412 = 233,412/x
  3. Step 3: Cross multiply
    108,672x = 233,412 × 233,412
  4. Step 4: Simplify right side
    108,672x = 54,481,161,744
  5. Step 5: Solve for x
    x = 54,481,161,744/108,672
  6. Step 6: Final answer
    x = 501,335.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.