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Finding the Third Proportional to 123,722 and 264,939

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Solution

The third proportional to 123,722 and 264,939 is: 567,341.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,722 : 264,939 = 264,939 : x
  2. Step 2: Convert to fraction form
    123,722/264,939 = 264,939/x
  3. Step 3: Cross multiply
    123,722x = 264,939 × 264,939
  4. Step 4: Simplify right side
    123,722x = 70,192,673,721
  5. Step 5: Solve for x
    x = 70,192,673,721/123,722
  6. Step 6: Final answer
    x = 567,341.89

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.