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Finding the Third Proportional to 183,474 and 258,372

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Solution

The third proportional to 183,474 and 258,372 is: 363,844.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,474 : 258,372 = 258,372 : x
  2. Step 2: Convert to fraction form
    183,474/258,372 = 258,372/x
  3. Step 3: Cross multiply
    183,474x = 258,372 × 258,372
  4. Step 4: Simplify right side
    183,474x = 66,756,090,384
  5. Step 5: Solve for x
    x = 66,756,090,384/183,474
  6. Step 6: Final answer
    x = 363,844.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.