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Finding the Third Proportional to 137,980 and 301,790

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Solution

The third proportional to 137,980 and 301,790 is: 660,075.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,980 : 301,790 = 301,790 : x
  2. Step 2: Convert to fraction form
    137,980/301,790 = 301,790/x
  3. Step 3: Cross multiply
    137,980x = 301,790 × 301,790
  4. Step 4: Simplify right side
    137,980x = 91,077,204,100
  5. Step 5: Solve for x
    x = 91,077,204,100/137,980
  6. Step 6: Final answer
    x = 660,075.40

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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.