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Finding the Third Proportional to 251,052.75 and 351,145.13

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Solution

The third proportional to 251,052.75 and 351,145.13 is: 491,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,052.75 : 351,145.13 = 351,145.13 : x
  2. Step 2: Convert to fraction form
    251,052.75/351,145.13 = 351,145.13/x
  3. Step 3: Cross multiply
    251,052.75x = 351,145.13 × 351,145.13
  4. Step 4: Simplify right side
    251,052.75x = 123,302,898,811.27
  5. Step 5: Solve for x
    x = 123,302,898,811.27/251,052.75
  6. Step 6: Final answer
    x = 491,143.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.