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Finding the Third Proportional to 162,086 and 252,970

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Solution

The third proportional to 162,086 and 252,970 is: 394,813.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,086 : 252,970 = 252,970 : x
  2. Step 2: Convert to fraction form
    162,086/252,970 = 252,970/x
  3. Step 3: Cross multiply
    162,086x = 252,970 × 252,970
  4. Step 4: Simplify right side
    162,086x = 63,993,820,900
  5. Step 5: Solve for x
    x = 63,993,820,900/162,086
  6. Step 6: Final answer
    x = 394,813.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.