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Finding the Third Proportional to 117,824 and 178,452

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Solution

The third proportional to 117,824 and 178,452 is: 270,276.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,824 : 178,452 = 178,452 : x
  2. Step 2: Convert to fraction form
    117,824/178,452 = 178,452/x
  3. Step 3: Cross multiply
    117,824x = 178,452 × 178,452
  4. Step 4: Simplify right side
    117,824x = 31,845,116,304
  5. Step 5: Solve for x
    x = 31,845,116,304/117,824
  6. Step 6: Final answer
    x = 270,276.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.