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Finding the Third Proportional to 182,984 and 277,029

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Solution

The third proportional to 182,984 and 277,029 is: 419,408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,984 : 277,029 = 277,029 : x
  2. Step 2: Convert to fraction form
    182,984/277,029 = 277,029/x
  3. Step 3: Cross multiply
    182,984x = 277,029 × 277,029
  4. Step 4: Simplify right side
    182,984x = 76,745,066,841
  5. Step 5: Solve for x
    x = 76,745,066,841/182,984
  6. Step 6: Final answer
    x = 419,408.62

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