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Finding the Third Proportional to 179,529.75 and 273,182.63

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Solution

The third proportional to 179,529.75 and 273,182.63 is: 415,690.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,529.75 : 273,182.63 = 273,182.63 : x
  2. Step 2: Convert to fraction form
    179,529.75/273,182.63 = 273,182.63/x
  3. Step 3: Cross multiply
    179,529.75x = 273,182.63 × 273,182.63
  4. Step 4: Simplify right side
    179,529.75x = 74,628,746,601.89
  5. Step 5: Solve for x
    x = 74,628,746,601.89/179,529.75
  6. Step 6: Final answer
    x = 415,690.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.