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Finding the Third Proportional to 183,508 and 258,420

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Solution

The third proportional to 183,508 and 258,420 is: 363,912.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,508 : 258,420 = 258,420 : x
  2. Step 2: Convert to fraction form
    183,508/258,420 = 258,420/x
  3. Step 3: Cross multiply
    183,508x = 258,420 × 258,420
  4. Step 4: Simplify right side
    183,508x = 66,780,896,400
  5. Step 5: Solve for x
    x = 66,780,896,400/183,508
  6. Step 6: Final answer
    x = 363,912.73

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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.