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Finding the Third Proportional to 189,938 and 295,267

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Solution

The third proportional to 189,938 and 295,267 is: 459,005.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,938 : 295,267 = 295,267 : x
  2. Step 2: Convert to fraction form
    189,938/295,267 = 295,267/x
  3. Step 3: Cross multiply
    189,938x = 295,267 × 295,267
  4. Step 4: Simplify right side
    189,938x = 87,182,601,289
  5. Step 5: Solve for x
    x = 87,182,601,289/189,938
  6. Step 6: Final answer
    x = 459,005.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.