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Finding the Third Proportional to 183,896 and 281,196

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Solution

The third proportional to 183,896 and 281,196 is: 429,977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,896 : 281,196 = 281,196 : x
  2. Step 2: Convert to fraction form
    183,896/281,196 = 281,196/x
  3. Step 3: Cross multiply
    183,896x = 281,196 × 281,196
  4. Step 4: Simplify right side
    183,896x = 79,071,190,416
  5. Step 5: Solve for x
    x = 79,071,190,416/183,896
  6. Step 6: Final answer
    x = 429,977.76

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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.