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Finding the Third Proportional to 196,372 and 427,735

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Solution

The third proportional to 196,372 and 427,735 is: 931,686.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,372 : 427,735 = 427,735 : x
  2. Step 2: Convert to fraction form
    196,372/427,735 = 427,735/x
  3. Step 3: Cross multiply
    196,372x = 427,735 × 427,735
  4. Step 4: Simplify right side
    196,372x = 182,957,230,225
  5. Step 5: Solve for x
    x = 182,957,230,225/196,372
  6. Step 6: Final answer
    x = 931,686.95

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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.