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Finding the Third Proportional to 183,478 and 271,815

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Solution

The third proportional to 183,478 and 271,815 is: 402,682.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,478 : 271,815 = 271,815 : x
  2. Step 2: Convert to fraction form
    183,478/271,815 = 271,815/x
  3. Step 3: Cross multiply
    183,478x = 271,815 × 271,815
  4. Step 4: Simplify right side
    183,478x = 73,883,394,225
  5. Step 5: Solve for x
    x = 73,883,394,225/183,478
  6. Step 6: Final answer
    x = 402,682.58

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.