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Finding the Third Proportional to 179,916 and 264,036

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Solution

The third proportional to 179,916 and 264,036 is: 387,486.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,916 : 264,036 = 264,036 : x
  2. Step 2: Convert to fraction form
    179,916/264,036 = 264,036/x
  3. Step 3: Cross multiply
    179,916x = 264,036 × 264,036
  4. Step 4: Simplify right side
    179,916x = 69,715,009,296
  5. Step 5: Solve for x
    x = 69,715,009,296/179,916
  6. Step 6: Final answer
    x = 387,486.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.