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Finding the Third Proportional to 143,244 and 303,564

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Solution

The third proportional to 143,244 and 303,564 is: 643,315.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,244 : 303,564 = 303,564 : x
  2. Step 2: Convert to fraction form
    143,244/303,564 = 303,564/x
  3. Step 3: Cross multiply
    143,244x = 303,564 × 303,564
  4. Step 4: Simplify right side
    143,244x = 92,151,102,096
  5. Step 5: Solve for x
    x = 92,151,102,096/143,244
  6. Step 6: Final answer
    x = 643,315.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.