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Finding the Third Proportional to 251,190 and 351,354

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Solution

The third proportional to 251,190 and 351,354 is: 491,459.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,190 : 351,354 = 351,354 : x
  2. Step 2: Convert to fraction form
    251,190/351,354 = 351,354/x
  3. Step 3: Cross multiply
    251,190x = 351,354 × 351,354
  4. Step 4: Simplify right side
    251,190x = 123,449,633,316
  5. Step 5: Solve for x
    x = 123,449,633,316/251,190
  6. Step 6: Final answer
    x = 491,459.19

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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.