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Finding the Third Proportional to 182,982.38 and 277,025.63

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Solution

The third proportional to 182,982.38 and 277,025.63 is: 419,402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,982.38 : 277,025.63 = 277,025.63 : x
  2. Step 2: Convert to fraction form
    182,982.38/277,025.63 = 277,025.63/x
  3. Step 3: Cross multiply
    182,982.38x = 277,025.63 × 277,025.63
  4. Step 4: Simplify right side
    182,982.38x = 76,743,196,906.64
  5. Step 5: Solve for x
    x = 76,743,196,906.64/182,982.38
  6. Step 6: Final answer
    x = 419,402.12

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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.