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Finding the Third Proportional to 117,427 and 261,748

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Solution

The third proportional to 117,427 and 261,748 is: 583,443.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,427 : 261,748 = 261,748 : x
  2. Step 2: Convert to fraction form
    117,427/261,748 = 261,748/x
  3. Step 3: Cross multiply
    117,427x = 261,748 × 261,748
  4. Step 4: Simplify right side
    117,427x = 68,512,015,504
  5. Step 5: Solve for x
    x = 68,512,015,504/117,427
  6. Step 6: Final answer
    x = 583,443.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.