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Finding the Third Proportional to 137,200 and 300,635

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Solution

The third proportional to 137,200 and 300,635 is: 658,756.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,200 : 300,635 = 300,635 : x
  2. Step 2: Convert to fraction form
    137,200/300,635 = 300,635/x
  3. Step 3: Cross multiply
    137,200x = 300,635 × 300,635
  4. Step 4: Simplify right side
    137,200x = 90,381,403,225
  5. Step 5: Solve for x
    x = 90,381,403,225/137,200
  6. Step 6: Final answer
    x = 658,756.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.