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Finding the Third Proportional to 168,318 and 186,543

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Solution

The third proportional to 168,318 and 186,543 is: 206,741.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,318 : 186,543 = 186,543 : x
  2. Step 2: Convert to fraction form
    168,318/186,543 = 186,543/x
  3. Step 3: Cross multiply
    168,318x = 186,543 × 186,543
  4. Step 4: Simplify right side
    168,318x = 34,798,290,849
  5. Step 5: Solve for x
    x = 34,798,290,849/168,318
  6. Step 6: Final answer
    x = 206,741.35

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.