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Finding the Third Proportional to 117,508 and 182,406

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Solution

The third proportional to 117,508 and 182,406 is: 283,146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,508 : 182,406 = 182,406 : x
  2. Step 2: Convert to fraction form
    117,508/182,406 = 182,406/x
  3. Step 3: Cross multiply
    117,508x = 182,406 × 182,406
  4. Step 4: Simplify right side
    117,508x = 33,271,948,836
  5. Step 5: Solve for x
    x = 33,271,948,836/117,508
  6. Step 6: Final answer
    x = 283,146.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.