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Finding the Third Proportional to 137,005 and 300,200

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Solution

The third proportional to 137,005 and 300,200 is: 657,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,005 : 300,200 = 300,200 : x
  2. Step 2: Convert to fraction form
    137,005/300,200 = 300,200/x
  3. Step 3: Cross multiply
    137,005x = 300,200 × 300,200
  4. Step 4: Simplify right side
    137,005x = 90,120,040,000
  5. Step 5: Solve for x
    x = 90,120,040,000/137,005
  6. Step 6: Final answer
    x = 657,786.50

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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.