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Finding the Third Proportional to 251,391.50 and 351,647.50

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Solution

The third proportional to 251,391.50 and 351,647.50 is: 491,886.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,391.50 : 351,647.50 = 351,647.50 : x
  2. Step 2: Convert to fraction form
    251,391.50/351,647.50 = 351,647.50/x
  3. Step 3: Cross multiply
    251,391.50x = 351,647.50 × 351,647.50
  4. Step 4: Simplify right side
    251,391.50x = 123,655,964,256.25
  5. Step 5: Solve for x
    x = 123,655,964,256.25/251,391.50
  6. Step 6: Final answer
    x = 491,886.02

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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.