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Finding the Third Proportional to 253,144.50 and 356,031

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Solution

The third proportional to 253,144.50 and 356,031 is: 500,734.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,144.50 : 356,031 = 356,031 : x
  2. Step 2: Convert to fraction form
    253,144.50/356,031 = 356,031/x
  3. Step 3: Cross multiply
    253,144.50x = 356,031 × 356,031
  4. Step 4: Simplify right side
    253,144.50x = 126,758,072,961
  5. Step 5: Solve for x
    x = 126,758,072,961/253,144.50
  6. Step 6: Final answer
    x = 500,734.06

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.