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Finding the Third Proportional to 196,372.13 and 427,735.13

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Solution

The third proportional to 196,372.13 and 427,735.13 is: 931,686.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,372.13 : 427,735.13 = 427,735.13 : x
  2. Step 2: Convert to fraction form
    196,372.13/427,735.13 = 427,735.13/x
  3. Step 3: Cross multiply
    196,372.13x = 427,735.13 × 427,735.13
  4. Step 4: Simplify right side
    196,372.13x = 182,957,337,158.77
  5. Step 5: Solve for x
    x = 182,957,337,158.77/196,372.13
  6. Step 6: Final answer
    x = 931,686.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.