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Finding the Third Proportional to 179,537 and 273,036

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Solution

The third proportional to 179,537 and 273,036 is: 415,227.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,537 : 273,036 = 273,036 : x
  2. Step 2: Convert to fraction form
    179,537/273,036 = 273,036/x
  3. Step 3: Cross multiply
    179,537x = 273,036 × 273,036
  4. Step 4: Simplify right side
    179,537x = 74,548,657,296
  5. Step 5: Solve for x
    x = 74,548,657,296/179,537
  6. Step 6: Final answer
    x = 415,227.26

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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.