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Finding the Third Proportional to 296,156.50 and 422,082.75

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Solution

The third proportional to 296,156.50 and 422,082.75 is: 601,553.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,156.50 : 422,082.75 = 422,082.75 : x
  2. Step 2: Convert to fraction form
    296,156.50/422,082.75 = 422,082.75/x
  3. Step 3: Cross multiply
    296,156.50x = 422,082.75 × 422,082.75
  4. Step 4: Simplify right side
    296,156.50x = 178,153,847,847.56
  5. Step 5: Solve for x
    x = 178,153,847,847.56/296,156.50
  6. Step 6: Final answer
    x = 601,553.06

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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.