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Finding the Third Proportional to 169,400.25 and 247,731.75

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Solution

The third proportional to 169,400.25 and 247,731.75 is: 362,284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,400.25 : 247,731.75 = 247,731.75 : x
  2. Step 2: Convert to fraction form
    169,400.25/247,731.75 = 247,731.75/x
  3. Step 3: Cross multiply
    169,400.25x = 247,731.75 × 247,731.75
  4. Step 4: Simplify right side
    169,400.25x = 61,371,019,958.06
  5. Step 5: Solve for x
    x = 61,371,019,958.06/169,400.25
  6. Step 6: Final answer
    x = 362,284.12

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.