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Finding the Third Proportional to 169,251.75 and 364,954.50

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Solution

The third proportional to 169,251.75 and 364,954.50 is: 786,944.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,251.75 : 364,954.50 = 364,954.50 : x
  2. Step 2: Convert to fraction form
    169,251.75/364,954.50 = 364,954.50/x
  3. Step 3: Cross multiply
    169,251.75x = 364,954.50 × 364,954.50
  4. Step 4: Simplify right side
    169,251.75x = 133,191,787,070.25
  5. Step 5: Solve for x
    x = 133,191,787,070.25/169,251.75
  6. Step 6: Final answer
    x = 786,944.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.