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Finding the Third Proportional to 184,279 and 277,717

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Solution

The third proportional to 184,279 and 277,717 is: 418,532.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,279 : 277,717 = 277,717 : x
  2. Step 2: Convert to fraction form
    184,279/277,717 = 277,717/x
  3. Step 3: Cross multiply
    184,279x = 277,717 × 277,717
  4. Step 4: Simplify right side
    184,279x = 77,126,732,089
  5. Step 5: Solve for x
    x = 77,126,732,089/184,279
  6. Step 6: Final answer
    x = 418,532.40

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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.