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Finding the Third Proportional to 179,529.75 and 273,024.84

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Solution

The third proportional to 179,529.75 and 273,024.84 is: 415,210.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,529.75 : 273,024.84 = 273,024.84 : x
  2. Step 2: Convert to fraction form
    179,529.75/273,024.84 = 273,024.84/x
  3. Step 3: Cross multiply
    179,529.75x = 273,024.84 × 273,024.84
  4. Step 4: Simplify right side
    179,529.75x = 74,542,565,304.71
  5. Step 5: Solve for x
    x = 74,542,565,304.71/179,529.75
  6. Step 6: Final answer
    x = 415,210.10

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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.