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Finding the Third Proportional to 183,904 and 281,201

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Solution

The third proportional to 183,904 and 281,201 is: 429,974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,904 : 281,201 = 281,201 : x
  2. Step 2: Convert to fraction form
    183,904/281,201 = 281,201/x
  3. Step 3: Cross multiply
    183,904x = 281,201 × 281,201
  4. Step 4: Simplify right side
    183,904x = 79,074,002,401
  5. Step 5: Solve for x
    x = 79,074,002,401/183,904
  6. Step 6: Final answer
    x = 429,974.35

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Why These Related Problems?

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