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Finding the Third Proportional to 141,379.50 and 307,302

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Solution

The third proportional to 141,379.50 and 307,302 is: 667,950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,379.50 : 307,302 = 307,302 : x
  2. Step 2: Convert to fraction form
    141,379.50/307,302 = 307,302/x
  3. Step 3: Cross multiply
    141,379.50x = 307,302 × 307,302
  4. Step 4: Simplify right side
    141,379.50x = 94,434,519,204
  5. Step 5: Solve for x
    x = 94,434,519,204/141,379.50
  6. Step 6: Final answer
    x = 667,950.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.