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Finding the Third Proportional to 140,134 and 303,597

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Solution

The third proportional to 140,134 and 303,597 is: 657,735.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,134 : 303,597 = 303,597 : x
  2. Step 2: Convert to fraction form
    140,134/303,597 = 303,597/x
  3. Step 3: Cross multiply
    140,134x = 303,597 × 303,597
  4. Step 4: Simplify right side
    140,134x = 92,171,138,409
  5. Step 5: Solve for x
    x = 92,171,138,409/140,134
  6. Step 6: Final answer
    x = 657,735.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.