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Finding the Third Proportional to 296,158 and 422,085

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Solution

The third proportional to 296,158 and 422,085 is: 601,556.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,158 : 422,085 = 422,085 : x
  2. Step 2: Convert to fraction form
    296,158/422,085 = 422,085/x
  3. Step 3: Cross multiply
    296,158x = 422,085 × 422,085
  4. Step 4: Simplify right side
    296,158x = 178,155,747,225
  5. Step 5: Solve for x
    x = 178,155,747,225/296,158
  6. Step 6: Final answer
    x = 601,556.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.