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Finding the Third Proportional to 135,904.50 and 209,796.75

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Solution

The third proportional to 135,904.50 and 209,796.75 is: 323,864.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,904.50 : 209,796.75 = 209,796.75 : x
  2. Step 2: Convert to fraction form
    135,904.50/209,796.75 = 209,796.75/x
  3. Step 3: Cross multiply
    135,904.50x = 209,796.75 × 209,796.75
  4. Step 4: Simplify right side
    135,904.50x = 44,014,676,310.56
  5. Step 5: Solve for x
    x = 44,014,676,310.56/135,904.50
  6. Step 6: Final answer
    x = 323,864.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.