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Finding the Third Proportional to 123,150.75 and 264,717

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Solution

The third proportional to 123,150.75 and 264,717 is: 569,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,150.75 : 264,717 = 264,717 : x
  2. Step 2: Convert to fraction form
    123,150.75/264,717 = 264,717/x
  3. Step 3: Cross multiply
    123,150.75x = 264,717 × 264,717
  4. Step 4: Simplify right side
    123,150.75x = 70,075,090,089
  5. Step 5: Solve for x
    x = 70,075,090,089/123,150.75
  6. Step 6: Final answer
    x = 569,018.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.