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Finding the Third Proportional to 123,149 and 265,978

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Solution

The third proportional to 123,149 and 265,978 is: 574,460.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,149 : 265,978 = 265,978 : x
  2. Step 2: Convert to fraction form
    123,149/265,978 = 265,978/x
  3. Step 3: Cross multiply
    123,149x = 265,978 × 265,978
  4. Step 4: Simplify right side
    123,149x = 70,744,296,484
  5. Step 5: Solve for x
    x = 70,744,296,484/123,149
  6. Step 6: Final answer
    x = 574,460.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.