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Finding the Third Proportional to 140,200 and 303,716

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Solution

The third proportional to 140,200 and 303,716 is: 657,941.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,200 : 303,716 = 303,716 : x
  2. Step 2: Convert to fraction form
    140,200/303,716 = 303,716/x
  3. Step 3: Cross multiply
    140,200x = 303,716 × 303,716
  4. Step 4: Simplify right side
    140,200x = 92,243,408,656
  5. Step 5: Solve for x
    x = 92,243,408,656/140,200
  6. Step 6: Final answer
    x = 657,941.57

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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.