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Finding the Third Proportional to 296,150 and 422,073

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Solution

The third proportional to 296,150 and 422,073 is: 601,538.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,150 : 422,073 = 422,073 : x
  2. Step 2: Convert to fraction form
    296,150/422,073 = 422,073/x
  3. Step 3: Cross multiply
    296,150x = 422,073 × 422,073
  4. Step 4: Simplify right side
    296,150x = 178,145,617,329
  5. Step 5: Solve for x
    x = 178,145,617,329/296,150
  6. Step 6: Final answer
    x = 601,538.47

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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.