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Finding the Third Proportional to 179,537.63 and 273,037.50

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Solution

The third proportional to 179,537.63 and 273,037.50 is: 415,230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,537.63 : 273,037.50 = 273,037.50 : x
  2. Step 2: Convert to fraction form
    179,537.63/273,037.50 = 273,037.50/x
  3. Step 3: Cross multiply
    179,537.63x = 273,037.50 × 273,037.50
  4. Step 4: Simplify right side
    179,537.63x = 74,549,476,406.25
  5. Step 5: Solve for x
    x = 74,549,476,406.25/179,537.63
  6. Step 6: Final answer
    x = 415,230.38

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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.