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Finding the Third Proportional to 123,719.25 and 264,933.75

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Solution

The third proportional to 123,719.25 and 264,933.75 is: 567,332.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,719.25 : 264,933.75 = 264,933.75 : x
  2. Step 2: Convert to fraction form
    123,719.25/264,933.75 = 264,933.75/x
  3. Step 3: Cross multiply
    123,719.25x = 264,933.75 × 264,933.75
  4. Step 4: Simplify right side
    123,719.25x = 70,189,891,889.06
  5. Step 5: Solve for x
    x = 70,189,891,889.06/123,719.25
  6. Step 6: Final answer
    x = 567,332.02

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Why These Related Problems?

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