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Finding the Third Proportional to 183,558 and 396,492

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Solution

The third proportional to 183,558 and 396,492 is: 856,437.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,558 : 396,492 = 396,492 : x
  2. Step 2: Convert to fraction form
    183,558/396,492 = 396,492/x
  3. Step 3: Cross multiply
    183,558x = 396,492 × 396,492
  4. Step 4: Simplify right side
    183,558x = 157,205,906,064
  5. Step 5: Solve for x
    x = 157,205,906,064/183,558
  6. Step 6: Final answer
    x = 856,437.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.