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Finding the Third Proportional to 251,872 and 349,097

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Solution

The third proportional to 251,872 and 349,097 is: 483,851.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,872 : 349,097 = 349,097 : x
  2. Step 2: Convert to fraction form
    251,872/349,097 = 349,097/x
  3. Step 3: Cross multiply
    251,872x = 349,097 × 349,097
  4. Step 4: Simplify right side
    251,872x = 121,868,715,409
  5. Step 5: Solve for x
    x = 121,868,715,409/251,872
  6. Step 6: Final answer
    x = 483,851.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.