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Finding the Third Proportional to 143,226 and 311,940

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Solution

The third proportional to 143,226 and 311,940 is: 679,391.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,226 : 311,940 = 311,940 : x
  2. Step 2: Convert to fraction form
    143,226/311,940 = 311,940/x
  3. Step 3: Cross multiply
    143,226x = 311,940 × 311,940
  4. Step 4: Simplify right side
    143,226x = 97,306,563,600
  5. Step 5: Solve for x
    x = 97,306,563,600/143,226
  6. Step 6: Final answer
    x = 679,391.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.