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Finding the Third Proportional to 183,940 and 281,258

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Solution

The third proportional to 183,940 and 281,258 is: 430,064.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,940 : 281,258 = 281,258 : x
  2. Step 2: Convert to fraction form
    183,940/281,258 = 281,258/x
  3. Step 3: Cross multiply
    183,940x = 281,258 × 281,258
  4. Step 4: Simplify right side
    183,940x = 79,106,062,564
  5. Step 5: Solve for x
    x = 79,106,062,564/183,940
  6. Step 6: Final answer
    x = 430,064.49

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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.