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Finding the Third Proportional to 168,489 and 263,101.50

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Solution

The third proportional to 168,489 and 263,101.50 is: 410,842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,489 : 263,101.50 = 263,101.50 : x
  2. Step 2: Convert to fraction form
    168,489/263,101.50 = 263,101.50/x
  3. Step 3: Cross multiply
    168,489x = 263,101.50 × 263,101.50
  4. Step 4: Simplify right side
    168,489x = 69,222,399,302.25
  5. Step 5: Solve for x
    x = 69,222,399,302.25/168,489
  6. Step 6: Final answer
    x = 410,842.25

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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.