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Finding the Third Proportional to 251,401.50 and 351,661.50

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Solution

The third proportional to 251,401.50 and 351,661.50 is: 491,905.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,401.50 : 351,661.50 = 351,661.50 : x
  2. Step 2: Convert to fraction form
    251,401.50/351,661.50 = 351,661.50/x
  3. Step 3: Cross multiply
    251,401.50x = 351,661.50 × 351,661.50
  4. Step 4: Simplify right side
    251,401.50x = 123,665,810,582.25
  5. Step 5: Solve for x
    x = 123,665,810,582.25/251,401.50
  6. Step 6: Final answer
    x = 491,905.62

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.