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Finding the Third Proportional to 130,009 and 199,744

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Solution

The third proportional to 130,009 and 199,744 is: 306,883.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,009 : 199,744 = 199,744 : x
  2. Step 2: Convert to fraction form
    130,009/199,744 = 199,744/x
  3. Step 3: Cross multiply
    130,009x = 199,744 × 199,744
  4. Step 4: Simplify right side
    130,009x = 39,897,665,536
  5. Step 5: Solve for x
    x = 39,897,665,536/130,009
  6. Step 6: Final answer
    x = 306,883.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.