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Finding the Third Proportional to 251,064 and 351,165

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Solution

The third proportional to 251,064 and 351,165 is: 491,176.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,064 : 351,165 = 351,165 : x
  2. Step 2: Convert to fraction form
    251,064/351,165 = 351,165/x
  3. Step 3: Cross multiply
    251,064x = 351,165 × 351,165
  4. Step 4: Simplify right side
    251,064x = 123,316,857,225
  5. Step 5: Solve for x
    x = 123,316,857,225/251,064
  6. Step 6: Final answer
    x = 491,176.98

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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.