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Finding the Third Proportional to 182,775 and 423,089

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Solution

The third proportional to 182,775 and 423,089 is: 979,369.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,775 : 423,089 = 423,089 : x
  2. Step 2: Convert to fraction form
    182,775/423,089 = 423,089/x
  3. Step 3: Cross multiply
    182,775x = 423,089 × 423,089
  4. Step 4: Simplify right side
    182,775x = 179,004,301,921
  5. Step 5: Solve for x
    x = 179,004,301,921/182,775
  6. Step 6: Final answer
    x = 979,369.73

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.