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Finding the Third Proportional to 183,322 and 385,094

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Solution

The third proportional to 183,322 and 385,094 is: 808,944.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,322 : 385,094 = 385,094 : x
  2. Step 2: Convert to fraction form
    183,322/385,094 = 385,094/x
  3. Step 3: Cross multiply
    183,322x = 385,094 × 385,094
  4. Step 4: Simplify right side
    183,322x = 148,297,388,836
  5. Step 5: Solve for x
    x = 148,297,388,836/183,322
  6. Step 6: Final answer
    x = 808,944.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.