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Finding the Third Proportional to 137,945 and 301,729

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Solution

The third proportional to 137,945 and 301,729 is: 659,976.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,945 : 301,729 = 301,729 : x
  2. Step 2: Convert to fraction form
    137,945/301,729 = 301,729/x
  3. Step 3: Cross multiply
    137,945x = 301,729 × 301,729
  4. Step 4: Simplify right side
    137,945x = 91,040,389,441
  5. Step 5: Solve for x
    x = 91,040,389,441/137,945
  6. Step 6: Final answer
    x = 659,976.00

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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.