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Finding the Third Proportional to 162,810 and 233,766

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Solution

The third proportional to 162,810 and 233,766 is: 335,646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,810 : 233,766 = 233,766 : x
  2. Step 2: Convert to fraction form
    162,810/233,766 = 233,766/x
  3. Step 3: Cross multiply
    162,810x = 233,766 × 233,766
  4. Step 4: Simplify right side
    162,810x = 54,646,542,756
  5. Step 5: Solve for x
    x = 54,646,542,756/162,810
  6. Step 6: Final answer
    x = 335,646.11

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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.