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Finding the Third Proportional to 183,492 and 258,390

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Solution

The third proportional to 183,492 and 258,390 is: 363,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,492 : 258,390 = 258,390 : x
  2. Step 2: Convert to fraction form
    183,492/258,390 = 258,390/x
  3. Step 3: Cross multiply
    183,492x = 258,390 × 258,390
  4. Step 4: Simplify right side
    183,492x = 66,765,392,100
  5. Step 5: Solve for x
    x = 66,765,392,100/183,492
  6. Step 6: Final answer
    x = 363,859.96

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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.