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Finding the Third Proportional to 180,592.03 and 427,082.63

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Solution

The third proportional to 180,592.03 and 427,082.63 is: 1,010,008.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,592.03 : 427,082.63 = 427,082.63 : x
  2. Step 2: Convert to fraction form
    180,592.03/427,082.63 = 427,082.63/x
  3. Step 3: Cross multiply
    180,592.03x = 427,082.63 × 427,082.63
  4. Step 4: Simplify right side
    180,592.03x = 182,399,568,576.89
  5. Step 5: Solve for x
    x = 182,399,568,576.89/180,592.03
  6. Step 6: Final answer
    x = 1,010,008.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.