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Finding the Third Proportional to 253,950.50 and 541,651

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Solution

The third proportional to 253,950.50 and 541,651 is: 1,155,287.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,950.50 : 541,651 = 541,651 : x
  2. Step 2: Convert to fraction form
    253,950.50/541,651 = 541,651/x
  3. Step 3: Cross multiply
    253,950.50x = 541,651 × 541,651
  4. Step 4: Simplify right side
    253,950.50x = 293,385,805,801
  5. Step 5: Solve for x
    x = 293,385,805,801/253,950.50
  6. Step 6: Final answer
    x = 1,155,287.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.