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Finding the Third Proportional to 179,533.50 and 273,030.50

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Solution

The third proportional to 179,533.50 and 273,030.50 is: 415,218.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,533.50 : 273,030.50 = 273,030.50 : x
  2. Step 2: Convert to fraction form
    179,533.50/273,030.50 = 273,030.50/x
  3. Step 3: Cross multiply
    179,533.50x = 273,030.50 × 273,030.50
  4. Step 4: Simplify right side
    179,533.50x = 74,545,653,930.25
  5. Step 5: Solve for x
    x = 74,545,653,930.25/179,533.50
  6. Step 6: Final answer
    x = 415,218.63

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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.