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Finding the Third Proportional to 108,954 and 233,460

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Solution

The third proportional to 108,954 and 233,460 is: 500,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,954 : 233,460 = 233,460 : x
  2. Step 2: Convert to fraction form
    108,954/233,460 = 233,460/x
  3. Step 3: Cross multiply
    108,954x = 233,460 × 233,460
  4. Step 4: Simplify right side
    108,954x = 54,503,571,600
  5. Step 5: Solve for x
    x = 54,503,571,600/108,954
  6. Step 6: Final answer
    x = 500,243.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.