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Finding the Third Proportional to 179,580.75 and 261,473.25

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Solution

The third proportional to 179,580.75 and 261,473.25 is: 380,710.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,580.75 : 261,473.25 = 261,473.25 : x
  2. Step 2: Convert to fraction form
    179,580.75/261,473.25 = 261,473.25/x
  3. Step 3: Cross multiply
    179,580.75x = 261,473.25 × 261,473.25
  4. Step 4: Simplify right side
    179,580.75x = 68,368,260,465.56
  5. Step 5: Solve for x
    x = 68,368,260,465.56/179,580.75
  6. Step 6: Final answer
    x = 380,710.41

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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.