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Finding the Third Proportional to 137,273 and 300,790

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Solution

The third proportional to 137,273 and 300,790 is: 659,085.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,273 : 300,790 = 300,790 : x
  2. Step 2: Convert to fraction form
    137,273/300,790 = 300,790/x
  3. Step 3: Cross multiply
    137,273x = 300,790 × 300,790
  4. Step 4: Simplify right side
    137,273x = 90,474,624,100
  5. Step 5: Solve for x
    x = 90,474,624,100/137,273
  6. Step 6: Final answer
    x = 659,085.36

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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.