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Finding the Third Proportional to 189,442 and 252,735

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Solution

The third proportional to 189,442 and 252,735 is: 337,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,442 : 252,735 = 252,735 : x
  2. Step 2: Convert to fraction form
    189,442/252,735 = 252,735/x
  3. Step 3: Cross multiply
    189,442x = 252,735 × 252,735
  4. Step 4: Simplify right side
    189,442x = 63,874,980,225
  5. Step 5: Solve for x
    x = 63,874,980,225/189,442
  6. Step 6: Final answer
    x = 337,174.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.