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Finding the Third Proportional to 136,719 and 300,321

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Solution

The third proportional to 136,719 and 300,321 is: 659,693.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,719 : 300,321 = 300,321 : x
  2. Step 2: Convert to fraction form
    136,719/300,321 = 300,321/x
  3. Step 3: Cross multiply
    136,719x = 300,321 × 300,321
  4. Step 4: Simplify right side
    136,719x = 90,192,703,041
  5. Step 5: Solve for x
    x = 90,192,703,041/136,719
  6. Step 6: Final answer
    x = 659,693.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.