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Finding the Third Proportional to 183,755 and 276,701

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Solution

The third proportional to 183,755 and 276,701 is: 416,660.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,755 : 276,701 = 276,701 : x
  2. Step 2: Convert to fraction form
    183,755/276,701 = 276,701/x
  3. Step 3: Cross multiply
    183,755x = 276,701 × 276,701
  4. Step 4: Simplify right side
    183,755x = 76,563,443,401
  5. Step 5: Solve for x
    x = 76,563,443,401/183,755
  6. Step 6: Final answer
    x = 416,660.46

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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.