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Finding the Third Proportional to 137,282 and 300,808

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Solution

The third proportional to 137,282 and 300,808 is: 659,121.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,282 : 300,808 = 300,808 : x
  2. Step 2: Convert to fraction form
    137,282/300,808 = 300,808/x
  3. Step 3: Cross multiply
    137,282x = 300,808 × 300,808
  4. Step 4: Simplify right side
    137,282x = 90,485,452,864
  5. Step 5: Solve for x
    x = 90,485,452,864/137,282
  6. Step 6: Final answer
    x = 659,121.03

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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.