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Finding the Third Proportional to 141,977.25 and 303,653.25

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Solution

The third proportional to 141,977.25 and 303,653.25 is: 649,437.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,977.25 : 303,653.25 = 303,653.25 : x
  2. Step 2: Convert to fraction form
    141,977.25/303,653.25 = 303,653.25/x
  3. Step 3: Cross multiply
    141,977.25x = 303,653.25 × 303,653.25
  4. Step 4: Simplify right side
    141,977.25x = 92,205,296,235.56
  5. Step 5: Solve for x
    x = 92,205,296,235.56/141,977.25
  6. Step 6: Final answer
    x = 649,437.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.