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Finding the Third Proportional to 138,608 and 300,526

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Solution

The third proportional to 138,608 and 300,526 is: 651,592.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,608 : 300,526 = 300,526 : x
  2. Step 2: Convert to fraction form
    138,608/300,526 = 300,526/x
  3. Step 3: Cross multiply
    138,608x = 300,526 × 300,526
  4. Step 4: Simplify right side
    138,608x = 90,315,876,676
  5. Step 5: Solve for x
    x = 90,315,876,676/138,608
  6. Step 6: Final answer
    x = 651,592.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.