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Finding the Third Proportional to 251,012.25 and 351,894.38

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Solution

The third proportional to 251,012.25 and 351,894.38 is: 493,321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,012.25 : 351,894.38 = 351,894.38 : x
  2. Step 2: Convert to fraction form
    251,012.25/351,894.38 = 351,894.38/x
  3. Step 3: Cross multiply
    251,012.25x = 351,894.38 × 351,894.38
  4. Step 4: Simplify right side
    251,012.25x = 123,829,651,156.64
  5. Step 5: Solve for x
    x = 123,829,651,156.64/251,012.25
  6. Step 6: Final answer
    x = 493,321.15

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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.