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Finding the Third Proportional to 179,533.13 and 273,029.63

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Solution

The third proportional to 179,533.13 and 273,029.63 is: 415,216.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,533.13 : 273,029.63 = 273,029.63 : x
  2. Step 2: Convert to fraction form
    179,533.13/273,029.63 = 273,029.63/x
  3. Step 3: Cross multiply
    179,533.13x = 273,029.63 × 273,029.63
  4. Step 4: Simplify right side
    179,533.13x = 74,545,176,127.64
  5. Step 5: Solve for x
    x = 74,545,176,127.64/179,533.13
  6. Step 6: Final answer
    x = 415,216.84

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