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Finding the Third Proportional to 134,764.50 and 208,958.25

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Solution

The third proportional to 134,764.50 and 208,958.25 is: 323,998.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,764.50 : 208,958.25 = 208,958.25 : x
  2. Step 2: Convert to fraction form
    134,764.50/208,958.25 = 208,958.25/x
  3. Step 3: Cross multiply
    134,764.50x = 208,958.25 × 208,958.25
  4. Step 4: Simplify right side
    134,764.50x = 43,663,550,243.06
  5. Step 5: Solve for x
    x = 43,663,550,243.06/134,764.50
  6. Step 6: Final answer
    x = 323,998.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.