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Finding the Third Proportional to 137,001 and 300,192

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Solution

The third proportional to 137,001 and 300,192 is: 657,770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,001 : 300,192 = 300,192 : x
  2. Step 2: Convert to fraction form
    137,001/300,192 = 300,192/x
  3. Step 3: Cross multiply
    137,001x = 300,192 × 300,192
  4. Step 4: Simplify right side
    137,001x = 90,115,236,864
  5. Step 5: Solve for x
    x = 90,115,236,864/137,001
  6. Step 6: Final answer
    x = 657,770.65

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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.