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Finding the Third Proportional to 140,202 and 303,720

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Solution

The third proportional to 140,202 and 303,720 is: 657,949.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,202 : 303,720 = 303,720 : x
  2. Step 2: Convert to fraction form
    140,202/303,720 = 303,720/x
  3. Step 3: Cross multiply
    140,202x = 303,720 × 303,720
  4. Step 4: Simplify right side
    140,202x = 92,245,838,400
  5. Step 5: Solve for x
    x = 92,245,838,400/140,202
  6. Step 6: Final answer
    x = 657,949.52

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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.