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Finding the Third Proportional to 162,812 and 233,769

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Solution

The third proportional to 162,812 and 233,769 is: 335,650.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,812 : 233,769 = 233,769 : x
  2. Step 2: Convert to fraction form
    162,812/233,769 = 233,769/x
  3. Step 3: Cross multiply
    162,812x = 233,769 × 233,769
  4. Step 4: Simplify right side
    162,812x = 54,647,945,361
  5. Step 5: Solve for x
    x = 54,647,945,361/162,812
  6. Step 6: Final answer
    x = 335,650.60

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.