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Finding the Third Proportional to 251,046 and 351,135

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Solution

The third proportional to 251,046 and 351,135 is: 491,128.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,046 : 351,135 = 351,135 : x
  2. Step 2: Convert to fraction form
    251,046/351,135 = 351,135/x
  3. Step 3: Cross multiply
    251,046x = 351,135 × 351,135
  4. Step 4: Simplify right side
    251,046x = 123,295,788,225
  5. Step 5: Solve for x
    x = 123,295,788,225/251,046
  6. Step 6: Final answer
    x = 491,128.27

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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.