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Finding the Third Proportional to 183,467 and 280,672

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Solution

The third proportional to 183,467 and 280,672 is: 429,378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,467 : 280,672 = 280,672 : x
  2. Step 2: Convert to fraction form
    183,467/280,672 = 280,672/x
  3. Step 3: Cross multiply
    183,467x = 280,672 × 280,672
  4. Step 4: Simplify right side
    183,467x = 78,776,771,584
  5. Step 5: Solve for x
    x = 78,776,771,584/183,467
  6. Step 6: Final answer
    x = 429,378.43

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.