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Finding the Third Proportional to 251,156 and 351,998

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Solution

The third proportional to 251,156 and 351,998 is: 493,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,156 : 351,998 = 351,998 : x
  2. Step 2: Convert to fraction form
    251,156/351,998 = 351,998/x
  3. Step 3: Cross multiply
    251,156x = 351,998 × 351,998
  4. Step 4: Simplify right side
    251,156x = 123,902,592,004
  5. Step 5: Solve for x
    x = 123,902,592,004/251,156
  6. Step 6: Final answer
    x = 493,329.21

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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.