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Finding the Third Proportional to 251,187.75 and 351,351

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Solution

The third proportional to 251,187.75 and 351,351 is: 491,455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,187.75 : 351,351 = 351,351 : x
  2. Step 2: Convert to fraction form
    251,187.75/351,351 = 351,351/x
  3. Step 3: Cross multiply
    251,187.75x = 351,351 × 351,351
  4. Step 4: Simplify right side
    251,187.75x = 123,447,525,201
  5. Step 5: Solve for x
    x = 123,447,525,201/251,187.75
  6. Step 6: Final answer
    x = 491,455.20

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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.