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Finding the Third Proportional to 140,200 and 300,080

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Solution

The third proportional to 140,200 and 300,080 is: 642,282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,200 : 300,080 = 300,080 : x
  2. Step 2: Convert to fraction form
    140,200/300,080 = 300,080/x
  3. Step 3: Cross multiply
    140,200x = 300,080 × 300,080
  4. Step 4: Simplify right side
    140,200x = 90,048,006,400
  5. Step 5: Solve for x
    x = 90,048,006,400/140,200
  6. Step 6: Final answer
    x = 642,282.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.